Well simply switch them. Imagine a diagonal line passing through the origin, $y = x$ reflection occurs when a point or a given object is reflected over this line. Visit Mathway on the web. If this value right over here, its absolute value was greater than one, then it would stretch it vertically, or would make it thinner in Direct link to Tregellas, Ali Rose (AR)'s post Where/How did he get 1/4?, Posted 5 years ago. in Mathematics from the University of Wisconsin-Madison. Did any DOS compatibility layers exist for any UNIX-like systems before DOS started to become outmoded? as we're trying to draw this flipped over version, whatever Y value we were Loading Function Reflection. and then the x-axis. Just like looking at a mirror image of yourself, but flipped.a reflection point is the mirror point on the opposite side of the axis. 3 Years of experience 64217+ Delivered Orders Reflection Matrix Calculator. Did this satellite streak past the Hubble Space Telescope so close that it was out of focus? reflection across the y-axis. {/eq}-coordinate, {eq}3 WebReflection of a Point in x-axis, y-axis and origin calculator - Find Reflection Find the equation of a line passing through two points A(3,5) and B(6,4) Learn About Reflection Over the Line Y=X Resort to our reflection law assignment helpers to know more about these calculators. When reflected over the line of reflection $y = x$, find the images vertices by switching the places of the $x$ and $y$ coordinates of the pre-images vertices. WebThis video shows reflection over the x-axis, y-axis, x = 2, y = 2. So I'm feeling really good that this is the equation of G of X. G of X is equal to negative This leaves us with the transformation for doing a reflection in the y -axis. Knowing how to reflect over the line $y=x$ will come in handy when graphing functions and predicting the graph of inverse functions. This also means that the functions input and output variable will have to switch places. {/eq}-axis. $A=(0,-2)$, $B=(2,-2)$, $C=(2,-4)$, and $D=(0,-4)$D. To do this for y = 3, your x-coordinate will stay the same for both points. powered by. to negative X squared. powered by "x" x "y" y "a" squared a 2 "a Taylor Expansion of sin(x) example. Y when is X is equal to negative two instead of Y being equal to four, it would now be equal to negative four. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, How to Find the Coordinates of a Point Reflected Across an Axis. getting before for a given X, we would now get the opposite So as we just talk through 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: Substitution Techniques for Difficult Integrals. What I don't know is how to solve when reflecting over something like $x = -1$. Direct link to Trinity122's post How can you solve the pro, Posted 4 years ago. It doesn't look like okay, well let's up take to see if we could take Here also, we are willing to provide you with the support that you need. We understand the need of every single client. Solutions Graphing Practice; New Geometry; Calculators; We know that the rule is the coordinates is going to switch to . So first let's flip over, flip over the x-axis. Four units to the left of $x = -1$ is $x = -1-4 = -5$, so the point $(3, -5)$ reflects to $(-5, -5)$. Geographic Interactions in Culture & the Environment, Geographic Diversity in Landscapes & Societies, Tools & Methodologies of Geographic Study, Western European Absolutism (1648-1715): Homework Help. So in each case, the $y$-coordinate stays the same, but $3$ becomes $-5$, $-2$ becomes $0$, $0$ becomes $-2$, and $13$ becomes $-15$. 7 above the x-axis, and it's going to be at across the x-axis. WebReflection under y = x, so change x as y and y as x. Is there a rule that would help make solving this easier? Mathematics is the study of numbers, shapes, and patterns. WebFunction Reflection. WebReflection across y=x. across the x-axis. In this lesson, well take a look at reflecting over a line . This video shows reflection over y = x, y = x. you imagine that this is some type of a lake, the point 8 comma 5. With a reflection calculator, you can solve any of the reflection problems easily. Start from a parent quadratic function y = x^2. So to go from A to B, you could Adding parameters to this function shows both scaling, reflecting, and translating this function from the original without graphing. Direct link to WolfCODEr456's post the x-axis and the y-axis, Posted 5 years ago. As a host, you should also make arrangement for water. 1/4 times X squared. Vending Services (Noida)Shop 8, Hans Plaza (Bhaktwar Mkt. Now, take a closer look at the points to see how the reflection over $y = x$ affects them: \begin{aligned}A =(0, -2) &\rightarrow A^{\prime} = (-2, 0)\\B=(2, 0) &\rightarrow B^{\prime} = (0, 2)\end{aligned}. Similarly for reflecting over horizontal lines, such as $y=b$ involves $(x,y)\mapsto (x, 2b-y)$. Under a reflection, the figure does not change size. On our green function, When X is equal to negative 6 comma 5, and then reflect across the y. Whatever the X is, you square it, and then you take the negative of it. "reflected" across the x-axis. Solving math problems can be a fun and rewarding experience. As a member, you'll also get unlimited access to over 88,000 All rights reserved. Keep this idea in mind when working with lines of reflections that are neither the x-axis nor the y-axis. what if you were reflecting over a line like y = 3. WebAlgebra Graph y=-x Step 1 Use the slope-interceptform to find the slopeand y-intercept. WebReflection across y=x. Alright now, let's work The reflection of the point (x, y) across the x-axis is the point (x, -y). negative values of X as well. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. It would have also And draw a triangle. Step 2: Check your work with a quick sketch of the original point and the new point, to make sure it is reflected correctly. WebInteractive Reflections in Math Explorer. Plot these three points then connect them to form the image of $\Delta A^{\prime}B^{\prime}C^{\prime}$. When the square is reflected over the line of reflection $y =x$, what are the vertices of the new square? 99. over/. match up with G of X. Part II (after the word and): The second part of the definition deals with point P being on line ?. $$. Reflection of Functions over the X-axis and over the Y-axis uses the square root function, as well as a TI-84 graphing calculator. Lets look at an example where well reflect triangle ABC over the line using the coordinates. The best way to master the process of reflecting the line, $y = x$, is by working out different examples and situations. There are three basic ways a graph can be reflected on the coordinate plane. $(5,4)$D. A point and its reflection over the line x=-1 have two properties: their y-coordinates are equal, and the average of their x-coordinates is -1 (so the sum of their x-coordinates is -1*2=-2). negative 8 comma 5. Whats the grammar of "For those whose stories they are"? It only takes a few minutes. Apply the same process when finding the function of the transformed image: switch the places of the variables to find the images function. And a better teacher than Solution. {/eq}-axis and when it is reflected across the {eq}y To embed this widget in a post on your WordPress blog, copy and paste the shortcode below into the HTML source: To add a widget to a MediaWiki site, the wiki must have the. example. see its reflection, and this is, say, like the moon, you would Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. This means that the image of the square has the following vertices: $A=(3, -3)$, $B=(1, -3)$, $C=(1, -1)$, and $D=(3, -1)$. {/eq}, to get the reflected point {eq}(2,-3) $ \text{Formula} \\ r_{(origin)} \\ (a,b) \rightarrow ( \red -a , see its reflection roughly around here. Let us remark that, in general, $y=mx$ can be written $y= (\tan \alpha) \ x$ where $\alpha$ is the (polar) angle made by the straight line with $x$ axis. Read more Plot the Following: Reflectance Transmittance Absorptance Plot start: nm Plot end: nm Data point spacing: nm Angle of incidence: degrees Polarization: s p mixed download When the square is reflected over the line of reflection $y = x$, what are the vertices of the new square? https://www.khanacademy.org//reflections-8th/a/reflections-review {/eq}-axis results in {eq}(-x,y) So if we were to do this If you're a perceptive sort, you might notice that the sum of each of these pairs of $x$-coordinates is $-2$, and therefore arrive at the transformation rule $x' = -2-x$, but if not, you can still reconstruct what's happening. Reflection Matrix Calculator Get the free Here are other important properties to remember when reflecting objects over the line of reflection $y = x$. WebReflection across y=x. It helps me to compare it to the function y = -x^2, so when x = 1 or -1, y = 1, you have points (1,-1)(-1,-1). To double-check whether the reflection was applied correctly, confirm whether the corresponding perpendicular distances between the pre-image and images points are equal. And so on. {/eq}, to its opposite, {eq}-2 is any line and P is any point not on ?, then r? Compare and list the transformations. {/eq}-axis: We need to change the {eq}x WebAbout this calculator This calculator computes the power reflectivity and transmission of a plan wave at a dielectric interface using the Fresnel equations. The reflection of point P in this line will be point P. Determine the resulting points when each of these points are reflected over the line of reflection $y =x$. (You should follow along and draw things out on a sheet of graph paper or on your computer, in order to make them clear.) ry=x=(y,x). so how did you get 1/4? When you reflect over y = 0, you take the distance from the line to the point you're reflecting and place another point that same distance from y = 0 so that the two points and the closest point on y = 0 make a line. P? we see its reflection? one right over here. negative 7, so we're going to go 6 to the When projected onto the line of reflection, the $\boldsymbol{x}$ and $\boldsymbol{y}$ coordinate of the points switch their places. Suppose that the point $(-4, -5)$ is reflected over the line of reflection $y =x$, what is the resulting images new coordinate? {/eq}-axis. Now that you have the Water Cooler of your choice, you will not have to worry about providing the invitees with healthy, clean and cool water. When a a is greater than 1 1: Vertically stretched. $$(-2,0) \mapsto (0,0)$$ Find the coordinates of the point {eq}(2,3) Instead when X is equal to zero, Y is still gonna be equal to zero. To reflect $\Delta ABC$ over the line $y = x$, switch the $x$ and $y$ coordinates of all three vertices. Bakent Bulvar No:29 Sincan / ANKARA. or maybe some type of an upside-down this really doesnt help at all, im still just as confused, just about different things now. In this video, you will learn how to do a reflection over the line y=x. Well I looked at when X is equal to two. WebUse A Reflection Calculator To Solve All Types Of Reflection Equations. Organize sanayi blgesinde fabrikamzla gl ticari yapmz ve deneyimli kadromuz ile mterilerimizin zm orta olmaktan memnuniyet duyarz. In your equation, start off with y = |x|. this by 1/4 to get our G. So let's see. Now, observe the transformation of $\Delta ABC$ over the line $y =x$ and try to find interesting properties of the transformation. WebReflection over y=x axis calculator The line y=x, when graphed on a graphing calculator, would appear as a straight line cutting through the origin with a slope of 1. If you're looking for a fun way to teach your kids math, try Decide math. WebEnter the coordinate points of to 3 different points into the calculator to reflect them over the x-axis. is reflected across the y-axis. will look something like this. This calculator helps you to find the point reflection A, for the given coordinates of A(x,y). Bizden Haberler, irketimiz hakkndaki haberleri, kurum aidiyetini glendiren ierikleri siz deerli ziyaretilerimiz ve referanslarmz ile gl bir iletiim adna buluturmay hedefler. When X is equal to two, Y is equal to negative one on G of X. 77. So your scale factor compares to that, in this case, over 2 goes down 1, so it is 1/4 that of the parent function. Apply a similar process when asked to reflect functions or shapes over the line of reflection $y = x$. You would see an equal Plus, get practice tests, quizzes, and personalized coaching to help you Replacing broken pins/legs on a DIP IC package. 1. When a a is between 0 0 and 1 1: Vertically compressed. WebStep 1: If reflecting across the x x -axis, change the y y -coordinate of the point to its opposite. All Right Reserved. Direct link to ADITYA ROY's post I believe that reflection. A reflection that results in an overlapping shape. Westward Expansion, Industrialization & Urbanization: Human Geography - Plate Tectonics: Help and Review, Quiz & Worksheet - Treating Arm Blood Clot Symptoms, Quiz & Worksheet - Characteristics of Polygons. ). Then click the 'Calculate' button. \begin{aligned}A \rightarrow A^{\prime} &:\,\,\,\,({\color{Teal}-1}, {\color{DarkOrange} 4}) \rightarrow ({\color{DarkOrange}4}, {\color{Teal} -1})\phantom{x}\\B \rightarrow B^{\prime} &: \,\,\,\,\,\,\,\,({\color{Teal}2}, {\color{DarkOrange} 3}) \rightarrow ({\color{DarkOrange}3}, {\color{Teal} 2})\\C \rightarrow C^{\prime} &: ({\color{Teal}-1}, {\color{DarkOrange} -2}) \rightarrow ({\color{DarkOrange}-2}, {\color{Teal} -1})\end{aligned}. This is at the point So when you widen this parabola, you need some fraction in front. Confidentiality is important in order to maintain trust between individuals and organizations. MEKSER Mhendislik , teknik kadrosu ve organize sanayide bulunan gelimi retim tesisi ile endstriyel rnler iin hizmet vermektedir. point across the x-axis, then I would end up 77. So like always, pause this video and see if you can do it on your own. this was some type of lake or something and you were to The best answers are voted up and rise to the top, Not the answer you're looking for? zero so that makes sense. So you could say G of two is negative one. And then if I reflected that equal to negative one. Reflection across y=x This calculator helps you to find the point reflection A, for the given coordinates of A(x,y). Reflection Matrix Calculator Get the free Reflection Calculator MyALevelMathsTutor widget for your website, blog, Wordpress, Blogger, or iGoogle. this right over here. The $\boldsymbol{ y = x}$ reflection projects the pre-image over the diagonal line that passes through the origin and represents $\boldsymbol{ y = x}$. When reflecting Get Solution. Put x = -y and y = x Original equation ==> y = 2x2 After reflection ==> x = 2y2 So, image equation of the given equation is x = 2y2. {/eq}. flip it over the x-axis. The y = x reflection projects the pre-image over the diagonal line that passes through the origin and represents y = x. {/eq}. Vending Services has the widest range of water dispensers that can be used in commercial and residential purposes. {/eq} when it is reflected across the {eq}x So we would reflect across the Well, its reflection would says P is an element of line ?. What , Posted 3 years ago. $(4,5)$B. The point negative 8 comma, 5 Math is often viewed as a difficult and boring subject, however, with a little effort it can be easy and interesting. Vending Services Offers Top-Quality Tea Coffee Vending Machine, Amazon Instant Tea coffee Premixes, And Water Dispensers. Web4D Vector Vector reflection calculator This function specifies the reflection of a 2-dimensional vector from a surface of a second vector having the specified normal. To find the resulting image for each of the points after reflecting each of them over $y =x$, switch the $x$ and $y$ coordinates values for each of the points. A negative a reflects it, and if 01, it vertically stretches it's only one axis. Get access to thousands of practice questions and explanations! P(x,y)P'(-y,-x) orry=-x(x,y) = (-y,-x). Then we need to move to the left by that amount. Such processes will allow you to see what is happening to the coordinates and help you remember the rule. WebReflection of a Point in x-axis, y-axis and origin calculator - Find Reflection Find the equation of a line passing through two points A(3,5) and B(6,4) Do My Homework Unit 1 2A 5 How to do Reflections on Your Graphing Calculator WebA point reflection is just a type of reflection. Mathematical reflections are shown using lines or figures on a coordinate plane. Reflecting across the {eq}y 88. Reflection of a curve/point using graph transformations. Similarly, reflecting across the {eq}y Watch this tutorial and reflect :). Then, waste no time, come knocking to us at the Vending Services. Direct link to Ian Pulizzotto's post A point and its reflectio, Posted 3 years ago. here 'cause it looks like this is sitting on our graph as well. This results in switching the places of the x and y Log InorSign Up. In particular for each linear x x. y y. a squared a 2. a Superscript, b , Baseline a b. The Water Dispensers of the Vending Services are not only technically advanced but are also efficient and budget-friendly. Direct link to David Severin's post That is the question with. When , . WebReflection across y=x A Reflection Calculator is an online calculator that is used to solve your Euclidean space problems involving point inversions. If we have a point, for example, , were going to reflect it over. Misyonumuz kalite gerekliliklerini yerine getirerek ve bilimsel yntemleri kullanarak, iimizi srekli gelitirmek, bu sayede i ortaklarmza, alanlarmza ve evreye deer katan bir kurulu olmaktr. in what situation? Data protection is an important issue that should be taken into consideration when handling personal information. WebWhen you reflect over the x-axis, the image will have the opposite y-coordinate than its base. The image is a circle with radius of $2$, center at $(-2, 2)$, and an equation of $(y 2)^2 + (x +2)^2 = 4$. Let's do one more. [ x 1 + 3 x 2 + 3 x 3 + 3 x 4 + 3 y 1 + 2 y 2 + 2 y 2 + 2 y 2 + 2] If we want to dilate a figure we simply multiply each x- and y-coordinate with the scale factor we want to dilate with. to the negative of F of X, or we could say Y is equal Since naming (lettering) the figure in a reflection requires changing the order of the letters (such as from clockwise to counterclockwise), a reflection is more specifically called a non-direct or opposite isometry. Reflection Matrix Calculator Get the free Reflection Calculator MyALevelMathsTutor widget for your website, blog, Wordpress, Blogger, or iGoogle. can we multiply this times some scaling factor so Negative 6 comma negative This is mostly useful for computer graphics applications. 88. It is used to solve problems in a variety of fields, including science, engineering, and business. trinomial. - [Instructor] Function powered by. If k<0, it's also reflected (or "flipped") across the x-axis. So there you have So let's think about {/eq}-axis, and vice versa. The graph below shows the position of all three points in one coordinate plane. The square $ABCD$ has the following vertices: $A=(-3, 3)$, $B=(-3, 1)$, $C=(-1, 1)$, and $D=(-1, 3)$. Direct link to embah2's post How can you solve the pro, Posted a year ago. across both axes. While a part of the package is offered free of cost, the rest of the premix, you can buy at a throwaway price. When X is equal to four, Graph the pre-image and the resulting image on the same Cartesian plane. Similarly, if you seek to install the Tea Coffee Machines, you will not only get quality tested equipment, at a rate which you can afford, but you will also get a chosen assortment of coffee powders and tea bags. For the required assistance, follow the methods listed below: For a vertical reflection, you must multiply all outputs by -1. $$ And the best way to do Praxis Elementary Education: Math CKT (7813) Study Guide North Carolina Foundations of Reading (190): Study Guide North Carolina Foundations of Reading (090): Study Guide General Social Science and Humanities Lessons. of point A across which axis? {/eq}-axis: {eq}(4, -5) $$(2,0) \mapsto (-4,0)$$. We are proud to offer the biggest range of coffee machines from all the leading brands of this industry. Create diagrams, solve triangles, rectangles, parallelograms, rhombus, trapezoid and kite problems. You have to multiply by the negative reciprocal, and that is where the -1/4 comes from, f(x) = - 1/4 x^2, thus f(2) = -1/4 (2)^2 = -1. We will check with two graphs - one reflecting across the {eq}x We ensure that you get the cup ready, without wasting your time and effort. Construct the line of reflection as a guide and double-check whether the reflection was performed correctly. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. You already know how simple it is to make coffee or tea from these premixes. {/eq}-axis. How to follow the signal when reading the schematic? Posted 5 years ago. Is it possible to rotate a window 90 degrees if it has the same length and width? WebReflection calculator y=x We'll provide some tips to help you select the best Reflection calculator y=x for your needs. the x-axis and the y-axis is like a tool to help reflect. Malky Bakent OSB. {/eq}-axis: We need to change the {eq}y 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). when X is equal to two Y is equal to negative four. The line of reflection is the perpendicular bisector of the segment joining every point and its image. (P) = P where ? The law of reflection formula can be written mathematically as follows. {eq}theta_i = theta_r {/eq} Here {eq}theta_i {/eq} is the angle of incidence and {eq}theta_r {/eq} is the angle of The line $x = -1$ is a vertical line one unit to the left of the $y$-axis. Calculus: Fundamental Theorem of Calculus. Where/How did he get 1/4? 2:20, Posted a year ago. Cancel any time. If you're seeing this message, it means we're having trouble loading external resources on our website. 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. Compressing and stretching depends on the value of a a. 2. powered by. Solve My Task. 16 times negative 1/4 is Then make the same line distance on to the other side. {/eq}. A. We also offer the Coffee Machine Free Service. All we did was switch the and the values. So first let's plot The function $y = (x -6)^2 -4$ has a parabola as its curve. our green function, and if I multiply it by 1/4, that seems like it will Download free on iTunes. been legitimate if we said the y-axis They show us right over How do you find the stretch/shrink factor? An error occurred trying to load this video. Throughout this discussion, the focus will be on reflecting points and polygons of different shapes over the line $y = x$. Explain math questions Deal with mathematic problem Solve math tasks Reflections in the Coordinate Plane. Firmamzda etkin bir kalite sisitemi vardr. :), What happens if it tells you to plot 2,3 reflected over x=-1. The new graph formed is an X-axis mirror of the previous graph. because it's a positive 5. Calculus: Integral with adjustable bounds. instead of squaring one and getting one, you then The closest point on the line should then be the midpoint of the point and its reflection. same distance, but now above the x-axis. 7 is right there. 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. Reflection of Functions over the X-axis and over the Y-axis uses the square root function, as well as a TI-84 graphing calculator. Lets graph this now. Plot negative 6 comma WebEnter the coordinate points of to 3 different points into the calculator to reflect them over the x-axis. The point negative WebReflection calculator y=x We'll provide some tips to help you select the best Reflection calculator y=x for your needs. Plot each of the three given points on the Cartesian plane. A diagonal straight line. So you may see a form such as y=a (bx-c)^2 + d. Direct link to David Severin's post It helps me to compare it, Posted 6 years ago. They are the same thing: Basically, you can change the variable, but it will still be the x and y-axis. Yes you are absolutely correct. because it's negative, and then we've gone 5 up, If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. It's a great way to engage them in the subject and help them learn while they're having fun. scaling it by negative value. 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 $C^{\prime} = (-2, 4)$. $A=(0, 2)$, $B=(-2, 2)$, $C=(-2, 4)$, and $D=(0, 4)$C. Click and drag the blue dot to see it's reflection across the line y=x (the green dot). A negative a reflects it, and if 01, it vertically stretches the parabola. We will be discussing about Reflection across the y axis calculator in this blog post. The reflection of the point (x, y) across the x-axis is the point (x, -y). Mathway. Direct link to 12653143's post Which points are reflecti, Posted 2 years ago. Let's check our answer. OSAT Early Childhood Education (CEOE) (205): Practice & NYSTCE ATAS (095): Practice & Study Guide. How would reflecting across the y axis differ? Now, we have a reflection of triangle over the line to form the image of . The point $x$ is how far to the right of your axis of symmetry? So you would see it at 8 to If so, how close was it. Therefore, if you have a point at $(3, -5)$, it is three units to the right of the $y$-axis, but four units to the right of your axis of symmetry. $A=(0,2)$, $B=(-2,2)$, $C=(-2, 4)$, and $D=(0,4)$. So the y-coordinate Log InorSign Up.. 1. will be the perpendicular bisector of the segment joining point P to point P. Tm rnlerimiz yksek malzeme kalitesi ile salam ve titizlikle, gl bir ekip tarafndan kontrol edilmektedir. Similar reasoning shows that, for example, $$ But when X is equal to negative one, instead of Y being equal to one, it'd now be equal to negative one. So we've plotted Scale by 1/4. 2.The square $ABCD$ has the following vertices: $A=(2, 0)$, $B=(2,-2)$, $C=(4, -2)$, and $D=(4, 0)$. Coffee premix powders make it easier to prepare hot, brewing, and enriching cups of coffee. {/eq}-axis takes everything above the {eq}x This is what flips it over the x-axis, and then multiplying it by this fraction that has an absolute value less than one, this is actually stretching it wider. WebReflection against the x-axis: 1 0 0 1: Reflection against the y-axis: 1 0 0 1: Scaling (contraction or dilation) in both x and y directions by a factor k: k 0 0 k: Horizontal shear (parallel to the x-axis) by a factor m: 1 m 0 1: Vertical Step 1.3 The slopeof the lineis the value of , and the y-interceptis the value of . The reflection of the point (x, y) across the y-axis is the point (-x, y). P(x,y)P'(x,-y) or r x-axis (x,y) = (x,-y) Hint: If you forget the rules for reflections when graphing, simply fold your graph paper along the line of reflection (in this example the x-axis) to see where your new figure will be located. when X is equal to two I get to negative four. Maybe we can just multiply New coordinates by rotation of axes original coordinates: (x. , y ) rotation . So what I mean is, if point A is at -2,3, A' will be at -2,-3.