Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.3 Exponential Functions - 4.3 Assess Your Understanding - Page 305: 3

Answer

False

Work Step by Step

We know that the functions of the form $a(x)=f(x-h)$ involve a $|h|$ unit shift to the right when the value of $h$ is positive. This implies that the graph of $y=(x-2)^3$ represents the graph of $y=x^3$ shifted 2 units to the right. Therefore, the statement is false.
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