College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.5 - Graphing Techniques: Transformations - 3.5 Assess Your Underdstanding: 31

Answer

Option (c)

Work Step by Step

RECALL: $y=-f(x)$ is the reflection about the x-axis of the parent function $f(x)$. A reflection about the x-axis changes the parent function's y-coordinate to its opposite sign. (e.g., if $(1, 2)$ is on the graph of $f(x)$, then $(1, -2)$ is on the graph of $-f(x)$.) This means that if $(3, 6)$ is on the graph of $y=f(x)$, then $(3, -6)$ is on the graph of $y=-f(x)$. The answer is Option (c).
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