Reflection over x axis vs y axis equation

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. For example, when

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Reflection across the x-axis: y = -f(x)

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
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3.3 Graphing Functions Using Reflections about the Axes

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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Reflection Over X-Axis & Y-Axis

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