![]() I thought that it would be f ( x) 3 x 3 (aka shift it three units to the right and reflect it), but it's wrong. Find a point on the line of reflection that creates a minimum distance. Starting with the graph of f ( x) 3 x, write the equation of the graph that results from reflecting f ( x) about the line x 3.Determine the number of lines of symmetry. A reflection across the line y x switches the x and y-coordinates of all the points in a figure such that (x, y) becomes (y, x).Describe the reflection by finding the line of reflection.Step 2 : So, the formula that gives the requested transformation is -y x Multiply each side by negative sign. Where should you park the car minimize the distance you both will have to walk? Answer : Step 1 : Since we do reflection transformation across the x-axis, we have to replace y by -y in the given function y x. You need to go to the grocery store and your friend needs to go to the flower shop. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4). Find more Education widgets in WolframAlpha. This is a different form of the transformation. Get the free 'Reflection Calculator MyALevelMathsTutor' widget for your website, blog, Wordpress, Blogger, or iGoogle. Additional Information: Reflections in the coordinate plane: Reflect over the x-axis: When. Apply a reflection over the line x-3 Since the line of reflection is no longer the x-axis or the y-axis, we cannot simply negate the x- or y-values. Now we all know that the shortest distance between any two points is a straight line, but what would happen if you need to go to two different places?įor example, imagine you and your friend are traveling together in a car. What is the rule for a reflection across the X axis 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. So, the reflection of point B (3, -4) along the y-axis is (-3, 4). ![]() And did you know that reflections are used to help us find minimum distances? ![]()
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