To reflect an equation over the y-axis, simply multiply the input variable by -1: {eq}y=f(x) \rightarrow y=f(-x) {/eq}. This is because the input variable is the only changed since the flip is

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REFLECTION ACROSS THE Y-AXIS A reflection can be done across the y-axis by folding or flipping an object over the y axis. The original object is called the pre-image, and the reflection is called the image. If the pre-image is labeled as

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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). Remember, the only step we have to do before

reflected in the y-axis. Solution : Required transformation : Reflection about y - axis, So replace x by -x. Put x = -x and. Original equation ==> 2x-3y = 8. After reflection ==> -2x-3y = 8. 2x+3y = -8.

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