Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.3 Exponential Functions - 5.3 Assess Your Understanding - Page 280: 3

Answer

False

Work Step by Step

Functions of the form $g(x)=f(x-h)$ involve a $|h|$ unit shift to the right when $h$ is positive. Hence the graph of $y=(x-2)^3$ is the graph of $y=x^3$ shifted 2 units to the right, hence it is false.
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