Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - Chapter 2 Test Prep - Review Exercises - Page 298: 70

Answer

Refer to the blue graph below.
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Work Step by Step

The parent function of $f(x)=|x|-3$ is the absolute value function $y=|x|$. Graph the parent function $y=|x|$. (refer to the graph below). RECALL: The graph of the function $y=-f(x)$ involves a reflection across the x-axis of he parent function $y=f(x)$.. Thus, the function $f(x)=-|x|$ involves a reflection across the x-axis of the parent function $y=|x|$. Reflect the graph of the parent across the x-axis. This can be done by changing they-value of each point to its opposite (e.g., the point (-2, 2) will be changed to (-2, -2), the point (2, 2) will be changed to (2, -2)). Refer to the blue graph i the answer part above.
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