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Select the correct choice that completes the sentence below. The graph of \( y=-f(x) \) is the graph of \( y=f(x) \) reflected about the

Ask by Pritchard Love. in the United States
Jan 22,2025

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The graph of \( y = -f(x) \) is the graph of \( y = f(x) \) reflected about the **x-axis**.

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The graph of \( y=-f(x) \) is the graph of \( y=f(x) \) reflected about the x-axis. When you take a function and multiply it by -1, all of the y-values will change sign, flipping the graph downward into the opposite quadrant. To visualize it, imagine flipping a pancake. If you take a pancake that’s perfectly flat (representing your original graph) and flip it over (representing the reflection), the side that was on top is now on the bottom, creating a mirror image. This transformation is a fundamental concept in graphing and helps you understand how functions behave in different quadrants!

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