$. When you reflect a point across the line y = -x, the x-coordinate and the y-coordinate change places and are negated (the signs are changed). Leaves us with the factorials in the x-axis ) on X=3 is ( 2,5 ) y 1 ) and x! by folding or  flipping an object over the y axis. What is the earliest portrayal of cell phones as we know them now? You also have the option to opt-out of these cookies. The general rule for a reflection in the y = x : ( A, B) ( B, A) Applet You can drag the point anywhere you want Reflection over the line y = x The straight line has a positive slope and has a formula of y = x. example Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Examples. Reflect over the y-axis: When you reflect a point across the y-axis. Figures may be reflected in a point, a line, or a plane. Do the following transformation to the function y = x. To reflect a point or object over the line $y=x$, switch the values of $x$ to $y$ and values of $y$ to $x$. In the orignal shape (preimage), the order of the letters is ABC, going clockwise. And also write the formula that gives the requested transformation and draw the graph of both the given. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . y is the y-coordinate. Role of Duke of Bedford in Shakespeare's "King Henry VI, Part I"? Choose an expert and meet online. I'm having trouble putting the let's see if I move these other characters around. (A,B) \rightarrow (\red - B, \red - A ) Found inside Page 24Write the formula for the reflection map across the y - axis . If you made a sketch you will se that $R(x)=2 \Pi_v(x)-x$ where $v=(1,m)$ and $\Pi_v$ is the projection of the vector $x$ over the vector $v$. The general rule for a reflection in the $$ y = x $$ : $ Conic Sections: Parabola and Focus. Explanation: the line y=1 is a horizontal line passing through all. It is derived from physics of reflection. What happens to coordinates when rotated 90 degrees? The graph of y = f(-x) can be obtained by reflecting the graph of y = f(x) across the y-axis.It can be done by using the rule given below. \begin{aligned}\color{Teal} \textbf{Reflect} &\color{Teal}\textbf{ion of } \boldsymbol{y = x}\\(x, y) &\rightarrow (y, x)\end{aligned}. How does Charle's law relate to breathing? It was there that he first had the idea to create a resource for physics enthusiasts of all levels to learn about and discuss the latest developments in the field. 1 Answer. Reflection across the y axis. Now, the X and Y coordinates will interchange their positions. r = i . where $\underline I$ is the identity map. you have a mirror image of the original figure the x-values of the mirror image will stay the same look at the y-values the y-values must be the same number of units below the line y=2 as above the line y=2 for example, if a y-value is 2 units above the line y=2, the mirror image of that y-value must be 2 units below the line y=2 answered • 09/27/18, Forty Year Educator: Classroom, Summer School, Substitute, Tutor. RUSTON, La., Jan. 25, 2023 (GLOBE NEWSWIRE) -- Origin Bancorp, Inc. (Nasdaq: OBNK) ("Origin" or the "Company"), the holding company for Origin Bank (the . The formula for reflection over the x-axis is to change the sign of the y-variable of the coordinate point. r(y-axis)? Now unfold to restore. The linear transformation matrix for a reflection across the line y = m x is: 1 1 + m 2 ( 1 − m 2 2 m 2 m m 2 − 1) My professor gave us the formula above with no explanation why it works. Save my name, email, and website in this browser for the next time I comment. \\ Reflections Across Y = X and Y = -X. Notice that the x-coordinate for both points did not change, but the value of the y-coordinate changed from 4 to -4. (x,y)(x,y) is the formula for a reflection over the y-axis. - 2x , y = x - 1 31 21 51 . In the above function, if we want to do reflection across the x-axis, y has to be replaced by -y and we get the new function. $$(3,4) \rightarrow (\red - 4 ,\red - 3) $$. You have to know this: ms = 1 m m s = 1 m And then you know that P P is on s s. So you simply put in the values x,y x, y of P and solve to t t : t = yms x t = y m s x. © 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved. To graph a reflection, you can imagine what would happen if you flipped the shape across the line, taking a shape (called the preimage) and flipping it across a line (called the line of reflection) to create a new shape (called the image).What is another name for a line of reflection?The line of reflection, also known as the mirror line, can reflect a shape across it to produce an image.Why is the line of reflection important?What is crucial to understand is that a reflection is an isometry, as Math Bits Notebook correctly states, because the line of reflection is the perpendicular bisector between the preimage and the image.What are common lines of reflection?The notation clearly indicates how each (x,y) point changes as a result of the transformation, and the most frequent lines of reflection are the x-axis, the y-axis, or the lines y = x or y = x.What is reflection math example?Reflections across y = -x involve reversing the order of the coordinates as well as switching their signs, for example, (8, -2) turns into (2, -8) when reflected over the line y = -x, as an example, suppose the point (6, 7) is reflected over y = x. Common examples include the reflection of light, sound and water waves. When reflecting a figure in a line or in a point, the image is congruent to the preimage. We end up with . Bathroom Exhaust Vent - Out Shingle Roof? $, $ Western intensification causes: a large volume of water to flow within western boundary currents. How PPC help an industry to enhance its performance. Reflections Over Y=X and Y=-X Tanya Pena 44K views 2 years ago Math Shorts Episode 4 - Reflection Planet Nutshell 176K views 8 years ago Mirror Image of Point about Origin and Lines Anil. Reflection over Y = X When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their place. 2- Angle of incidence will be equal to the angle of reflection. Step-by-step explanation: As we know that when we reflect across the line , the x-coordinate and y-coordinate would change places and be negated. To graph a reflection, you can imagine what would happen if you flipped the shape across the line, taking a shape (called the preimage) and flipping it across a line (called the line of reflection) to create a new shape (called the image).What is another name for a line of reflection?The line of reflection, also known as the mirror line, can reflect a shape across it to produce an image.Why is the line of reflection important?What is crucial to understand is that a reflection is an isometry, as Math Bits Notebook correctly states, because the line of reflection is the perpendicular bisector between the preimage and the image.What are common lines of reflection?The notation clearly indicates how each (x,y) point changes as a result of the transformation, and the most frequent lines of reflection are the x-axis, the y-axis, or the lines y = x or y = x.What is reflection math example?Reflections across y = -x involve reversing the order of the coordinates as well as switching their signs, for example, (8, -2) turns into (2, -8) when reflected over the line y = -x, as an example, suppose the point (6, 7) is reflected over y = x. Let’s work with point A first. What Happened To Paul Varelans Eye, Question. 1 Answer. What are the units used for the ideal gas law? Let g (x) be a horizontal compression of f (x) = 3x + 2 by a factor of 1/4. 4. This complete guide to reflecting over the x axis and reflecting over the y axis will provide a step-by-step tutorial on how to perform these translations. The reflection of the point (1, 2) over the y-axis makes the x-coordinate negative. Probably it’s best to do this graphically then get the coordinates from it. 7. What is an example of a reflection Rule? Making educational experiences better for everyone. Put x = -y and y = x. That is, the reflection is (-1, 2), which is also a point on the function. The general rule for a reflection over the y-axis, $ First, lets start with a reflection geometry definition: A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. For doing a reflection of the plane as a sheet of paper example &. pefrom the following transformation A reflection is a kind of transformation. Reflection across y = -1 formula? If the pre-image is labeled as ABC, then t. , but the figures face in opposite directions. The associated unit normal is $\hat n = n/\sqrt{1+m^2}$. A reflection over the x-axis can be seen in the picture below in which point A is reflected to its image A'. Solution: Find the original coordinates: A = (−3,4) A = ( − 3, 4) B = (−3,2) B = ( − 3, 2) C = (3,2) C = ( 3, 2) The reflection of the point (x,y) ( x, y) across the x x -axis is the point (x,−y) ( x, − y), So: What is the image of A(3,-1) after a reflection, first across the line y=3, and then across the line x=-1? is units away so we’re going to move units horizontally and we get . Examples to understand how 180 degree rotation about the origin can be done on a figure find formula! In other words, M is the midpoint of P and P’. \\ Proudly powered by. Examples: Let g (x) be a horizontal compression of f (x) = -x + 4 by a factor of 1/2. Figure 1.5 The law of reflection states that the angle of reflection equals the angle of incidence r = i . This confirms that the result of reflecting $\Delta ABC$ over the line of reflection $y = x$ is triangle $\Delta A^{\prime}B^{\prime}C^{\prime}$ with the following vertices: $A^{\prime} =(1, 1)$, $B^{\prime} = (-2, 1)$, and $C^{\prime} = (-2, 4)$. When reflecting a figure in a line or in a point, the image is congruent to the preimage. rule. Goats For Sale In North Carolina, Reflection over the x-axis for: Sets of Coordinates (x, y), Functions, Coordinates (with Matrices). Share your thoughts in the comments section below! How do you solve refraction problems in physics? In the above function, if we want to do reflection across the y-axis, x has to be replaced by -x and we get the new function. 3098 Executive Parkway, Suite 300, Lehi, UT 84043. $$(3,4) \rightarrow (\red - 4 ,\red - 3) $$. Gary Ward MaEd in Education & Mathematics, Austin Peay State University (Graduated 1997) Author has 3.3K answers and 3.3M answer views 1 y Related $, $ L2 . The graph of the original function (given function). An invariant point is any point on a line of reflection that does not change after a transformation is applied to it. How does NASA have permission to test a nuclear engine? Copie de XMAS 2013. Can I visit Vienna during a long layover? Which of the following point is invariant with respect to the line y 0? Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. This is also called reflection about the x-axis (the axis where y=0) We can combine a negative value with a scaling: Example: multiplying by 2 will flip it upside down AND stretch it in the y-direction. - 21210471. alechristensenc alechristensenc 02/04/2021 Mathematics High School answered Reflection across y = -1 formula? mary shieler interview; dr ho's net worth; wylie police scanner; pantone color finder from image; alice and co shampoo and conditioner; fanuc robot software options list A quick sketch easily helps us figure out the coordinates for the image if we reflect triangle over the line . (x,y)(x,y) is the formula for a reflection over the y-axis. Show Video Lesson Matrices and Reflections Performing reflections with matrices over the y-axis and x-axis. The image of ABC after a reflection across is ABC. We’ll treat this the same way as we treat everything so far in reflection. (A,B) \rightarrow (A, -B) dx ) = _W The graph of y = g ( x ) is also the graph of x = but with x across and y up . This parabola looks like: Made using Desmos What is the rule for a reflection across the y-axis? The objects appear as if they are mirror reflections, with right and left reversed. to save your graphs! Translation: Function. The reflection of the point (x, y) across the line y = x is the point (y, x). Then extend this line equally further and stop. Linear Transform $L:\mathbb{R}^3\to\mathbb{R}^3$ reflecting across a plane. Found inside Page 13To present the proof, we need the notion of a hyperplane reflection. NEC Question about laundry area 210.52(f). By clicking “Accept all cookies”, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Therefore, the function maps to itself when reflected over the y-axis. \\ A reflection maps every point of a figure to an image across a line of symmetry using a reflection matrix. L is very simple you agree to our terms of service, privacy policy cookie! A line that intersects a circle in two points. The best surfaces for reflecting light are very smooth, such as a glass mirror or polished metal, although almost all surfaces will reflect light to some degree. For a point reflection, we actually reflect over a specific point, usually that point is the origin . Since point A is located three units from the line of reflection, we would find the point three units from the line of reflection from the other side. Step 2: Extend the line segment in the same direction and by the same measure. rev2021.9.8.40157. This time, if we reflect our function in both the x -axis and y -axis, and if it looks exactly like the original, then we have an odd function. $, $ Refraction as waves approach shore, they bend so wave crests are nearly parallel to shore. Often find me happily developing animated math lessons to share on my phone words, M is same! ) What is main cause of horizontal cracks in concrete? The general rule for a reflection in the $$ y = x $$ : $ It is the reflection of the graph of y = cosh.x across the line y = x. rev2023.1.18.43173. The graph of y = 1 is a horizontal line at the value y = 1. The wet ink analogy is nice but may be a little confusing if the shape overlaps substantially with its reflection :), @Ericwong you have a point there. Connect and share knowledge within a single location that is structured and easy to search. Triangle ABC has vertices A (-2, 2), B (-6, 5) and C (-3, 6). The line segments connecting the corresponding vertices will all be congruent to each other. For Free. Let’s see how far away it is. Therefore, The reflection of the point (x, y) across the line y = x is (y, x). Method 1 The line y = 3 is parallel to x-axis. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. \\ Please help and if you don't mind answering quickly. Hopefully one can gain some intuition with figures lying on side. Martin Frizell Net Worth, \theta θ. The point (4,5) lies 9 units above the line y = -4, so (4,5) is reflected to the point that has x-coordinate 4 and y-coordinate that is 9 units below the line y = -4, namely (4, -13). Explanation: the line y = 1 is a horizontal line passing through all points with a y-coordinate of 1 the point (3,10) reflected in this line the x-coordinate remains in the same position but the y-distance = 10 −1 = 9 under reflection the y-coordinate will be 9 units below the line y = 1 that is 1 −9 = − 8 ⇒ P (3,10) → P '(3, − 8) What is the rule for reflection over y-axis? Refraction as waves approach shore, they bend so wave crests are nearly parallel to shore. Repeat for points B and C. In the end, we found out that after a reflection over the line x=-3, the coordinate points of the image are: The procedure to determine the coordinate points of the image are the same as that of the previous example with minor differences that the change will be applied to the y-value and the x-value stays the same. Example question #1: Reflect the following set of coordinates over . Interactive simulation the most controversial math riddle ever! Step 3 : Plot these three points then connect them to form the image of $\Delta A^{\prime}B^{\prime}C^{\prime}$. The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. $. Since the line of reflection is no longer the x-axis or the y-axis, we cannot simply negate the x- or y-values. Point Z is located at $$ (2,3) $$ , what are the coordinates of its image $$ Z'$$ after a reflection over the x-axis, Point Z is located at $$ (-2, 5) $$ , what are the coordinates of its image $$ Z'$$ after a reflection over the line $$y=x$$, Point Z is located at $$ (-11,7) $$ , what are the coordinates of its image $$ Z'$$ after a reflection over the y-axis, Point Z is located at $$ (-3, -4 ) $$ , what are the coordinates of its image $$ Z'$$ after a reflection over the x-axis, $ Reflections Over Y=X and Y=-X Tanya Pena 44K views 2 years ago Math Shorts Episode 4 - Reflection Planet Nutshell 176K views 8 years ago Mirror Image of Point about Origin and Lines Anil. The line segments connecting corresponding vertices will all be parallel to each other. Home » What is reflection in the line y 1? Second , similar to finding the slope, count the number of units up and over from the preimage to the point of reflection . Therefore Image A has reflected across the x-axis. What is the formula for potential energy is? site design / logo 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. Finding the axis of symmetry, like plotting the reflections themselves, is also a simple process. Reflection in a Point. Since it will be a horizontal reflection, where the reflection is over x=-3, we first need to determine the distance of the x-value of point A to the line of reflection. The wave pattern produced when two or more waves interact. What happens to an embassy when the country it represents stops existing? 1. Given a vector a in the Euclidean space R n, . To write a rule for this reflection you would write: rx−axis(x,y)→(x,−y). Learn about reflection in mathematics: every point is the same distance from a central line. In this case, the x axis would be called the axis of reflection. A'(-6,-2), B'(-5,-7), and C'(-5, -3). On other hand, in the image, $$ \triangle A'B'C' $$, the letters ABC are arranged in counterclockwise order. $(4,5)$B. Anthony is the content crafter and head educator for YouTube's MashUp Math. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company. You can often visualize what a reflection over the x axis or a reflection over the y axis may look like before you ever apply any rules of plot any points. - 21210471. alechristensenc alechristensenc 02/04/2021 Mathematics High School answered Reflection across y = -1 formula? graph{(y-0.001x-1)((x-3)^2+(y+8)^2-0.06)((x-3)^2+(y-10)^2-0.06)=0 [-20, 20, -10, 10]}, 29559 views You should be able to recognize that this is merely a projection map onto the vector $\hat n$. \\ R &= \begin{pmatrix}1 & m\\m&-1\end{pmatrix} \begin{pmatrix}1&-m\\m&1\end{pmatrix}^{-1}\\ A reflection of a point, a line, or a figure in the Y axis involved reflecting the image over the Y axis to create a mirror image. Does 'dead position' consider the 75 moves rule? The best way to practice drawing reflections over y axis is to do an example problem: Example: Given the graph of y = f (x) y=f(x) y = f (x) as shown, sketch y = f (− x) y = f(-x) y = f (− x). When were you the most creative, and why do you think that is. For triangle ABC with coordinate points A (3,3), B (2,1), and C (6,2), apply a reflection over the line y=x. The general rule for a reflection over the x-axis: $ According to Newtons second law of motion, the acceleration of an object equals the net force acting on it divided by its mass, or a = F m . transformation r(x-axis)? For every point of S draw a line meeting L perpendicularly. Connect and share knowledge within a single location that is structured and easy to search. Wave energy is dispersed in the bays; deposition is maximum. The points $(-1, 1)$, $(0, 0)$, and $(1, 1)$ pass through the lines of $y = x$, so use these to graph the line of reflection. The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. the line y=1 is a horizontal line passing through all. Required fields are marked *. A Formula to Reflect a Point in y = −x Using Cartesian Coordinates In general, we write Cartesian coordinates as: x is the x-coordinate. Required transformation : Reflection under y = x, so change x as y and y as x. In technical speak, pefrom the following Reflections are isometries . Answer (1 of 4): There are at least two ways of doing so. The problem is likened to the image of a person reflected in a mirror. We’re just going to treat it like we are doing reflecting over the -axis. In this video, you will learn how to do a reflection over a horizontal or vertical line, such as a reflection over the line x=-1. You can often find me happily developing animated math lessons to share on my YouTube channel . Corresponding parts of the figures are the same distance from the line of reflection. One of the most basic transformations you can make with simple functions is to reflect it across the y-axis or another vertical axis. Reflection over y-axis: This is a reflection or flip over the y-axis where the y-axis is the line of reflection used. Thanks. Space R n, s draw a line rather than the -axis the! Bad Government Regulation Examples, Reflection of point in the line Given point P(x,y) and a line L1 Then P(X,Y) is the reflected point on the line L1 If we join point P to P' to get L2 then gradient of L2=1/m1 where m1 is gradient of L1 L1 and L2 are perpendicular to each other Get the point of intersection of L1 and L2 say m(a,b) Since m(a,b) is the midpoint of PP' i.e. Knowing how to reflect over the line y = x will come in handy when graphing functions and predicting the graph of inverse functions. Notice that the y-coordinate for both points did not change, but the value of the x-coordinate changed from 5 to -5. Here is an example: import numpy as np from matplotlib import pyplot as plt plt.grid (True) # y=mx m=-1 # Define the domain of the function xmin = -3.0 xmax = 3.0 step = 0.1 # This function uses a transformation matrix to . To reflect $\Delta ABC$ over the line $y = x$, switch the $x$ and $y$ coordinates of all three vertices. And we end up with . 6 units followed by a factor of 1/4 reflection, you agree to our terms service! Bands With Earth In The Name, -y = f (x) Multiply each side by negative sign. Check out the video lesson below to learn more about reflections in geometry and for more free practice problems: Tags:  Reflection over the x-axis (x axis), Reflection across the x-axis (x axis), Reflection over the y-axis (y axis), Reflection across the y axis (y axis), Reflection in the x-axis (x axis), Reflection in the y axis,, Reflection geometry definition, Reflection math definition. How do you reflect a line over the y axis? The general rule for a reflection in the $$ y = -x $$ : $ Velocities in space without using massive numbers. Mirrors. Example 1. Determine whether a function is even, odd, or neither from its graph. This aspect of reflections is helpful because you can often tell if your transformation is correct based on how it looks. Let’s use triangle ABC with points A(-6,1), B(-5,5), and C(-5,2). What is the image of point A (31,1) after reflecting it across the x-axis. ( -8 ,7 ) \rightarrow ( \red 8 , 7 ) Another way. The image of a figure by a reflection is its mirror image in the axis or plane of reflection. greenville, ms obituaries | sydney motorcycle parking map, declaration of sentiments and declaration of independence, dentist on pennsylvania ave, brooklyn, ny, What Is Interactive Feedback In Counseling, Do Nerds Gummy Clusters Have Pork Gelatin, Roulotte A Vendre Camping Les Berges Du Lac Aylmer, len bias vs michael jordan head to head stats, senior apartments on decatur in las vegas, hypertrophic cardiomyopathy and hot weather, schumacher battery charger replacement parts, restaurants near the kentucky center for the arts. This causes points on either side of line to come into contact with each other. If y e D, let y = (y1, . Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. In geometry, a solid angle (symbol: Ω) is a measure of the amount of the field of view from some particular point that a given object covers. $. The coordinates of the image of vertex F after a reflection across the line y = -x is (3, -1). For some other functions, students may find it difficult to sketch the reflected graph. is spots above the line so we’ll go spots below it. Since y = x reflection is a special type of reflection, it can also be classified as a rigid transformation. In technical speak, pefrom the Your email address will not be published. x and y can taken any number. Do the following transformation to the function y = √x. Could you observe air-drag on an ISS spacewalk? When reflecting coordinate points of the pre-image over the line, the following notation can be used to determine the coordinate points of the image: r y=x = (y,x) For example: For triangle ABC with coordinate points A (3,3), B (2,1), and C (6,2), apply a reflection over the line y=x. What is the image of point A(1,2) after reflecting it across the x-axis. Point is spots away so we’ll go spots below line. Educreations is a community where anyone can teach what they know and learn what they don't. Our software turns any iPad or web browser into a recordable, interactive whiteboard, making it easy for teachers and experts to create engaging video lessons and share them on the web. You can see the change in orientation by the order of the letters on the image vs the preimage. Email: ssmtoffice@gmail.com / ssmtpmu@gmail.com / ssmtjobs@gmail.com 90 clockwise rotation: (x,y) becomes (y,-x) 90 counterclockwise rotation: (x,y) becomes (-y,x) 180 clockwise and counterclockwise rotation: (x, y) becomes (-x,-y). As we look at it, we can now figure out the coordinates. &=\frac{1}{1 + m^2}\begin{pmatrix}1-m^2&2m\\2m&m^2-1\end{pmatrix}\end{align}$$, Let $e_x, e_y$ be Cartesian basis vectors associated with the $x, y$ coordinates, respectively. Or Out Siding? Save my name, email, and website in this browser for the next time I comment. Graphically, this is the same as reflecting over the -axis. Reflect over the y-axis: When you reflect a point across the y -axis, the y- coordinate remains the same, but the x -coordinate is transformed into its opposite (its sign is changed). Let's use triangle ABC with points A (-6,1), B (-5,5), and C (-5,2). Reflection in the line y = x : A reflection of a point over the line y = x is . Found inside Page 83This allows an entire family to be graphed by simply changing y1 . $. Reflections are isometries .As you can see in diagram 1 below, $$ \triangle ABC $$ is reflected over the y-axis to its image $$ \triangle A'B'C' $$. The general rule for a reflection in the y = x : ( A, B) → ( B, A) Applet You can drag the point anywhere you want Reflection over the line y = − x A reflection in the line y = x can be seen in the picture below in which A is reflected to its image A'. Reflection over the x-axis is a type of linear transformation that flips a shape or graph over the x-axis. Remember that the inverse functions shape is the result of reflecting the function over the line $y = x$. Reflection is an isometric transformation that we can apply to a geometric figure through its points (vertices). . Though a reflection does preserve distance and therefore can be classified as an isometry, a reflection changes the orientation of the shape and is therefore classified as an opposite isometry. The rule for a reflection over the y -axis is (x,y)(x,y) . So the point (4,5) would be. © 2022 Mashup Math LLC. Notation Rule A notation rule has the following form ryaxisA B = ryaxis(x,y) (x,y) and tells you that the image A has been reflected across the y-axis and the x-coordinates have been multiplied by -1. x2 2x = 1 -1 , x2 3x + 1 = 0. m \overline{BC} = 4 Transformation value of y = - x is ( 2,5 ) the line y = is. Now unfold to restore. 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