Here is the general rule for reflection across the y-axis: Given an equation {eq}y=f (x) {/eq}, the new reflection equation of the reflected graph will be {eq}y=f (-x) {/eq}. The

Solve Nowy = f (-x) 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. That is, if each point of the pre-image is (x, y), then each point of the image after reflection

The function y = ( x − 6) 2 − 4 has a parabola as its curve. When reflected over the line y = x, the x and y coordinates of all the points lying along the curve will switch their places.

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In a potential test question, this can be phrased in many different ways, so make sure you recognize the following terms as just another way of saying perform a reflection across the y-axis: • Graph y = f (-x) y =f (−x) • Graph f (-x) f (−x) • f (

The reflection of a function can be over the x-axis or y-axis, or even both axes. For example, the reflection of the function y = f ( x) can be written as y = – f ( x) or y = f ( − x) or

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