College Algebra (10th Edition)

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

Chapter 6 - Section 6.3 - Exponential Functions - 6.3 Assess Your Understanding - Page 434: 3

Answer

False

Work Step by Step

RECALL: The function $f(x) = (x-h)^3$ involves a horizontal shift of : (i) $h$ units to the right of the parent function $y=x^3$ if $h\gt0$; (ii) $|h|$ units to the left of the parent function $y=x^3$ if $h \lt0$ The given function has $h=2$. Thus, it involves a 2-unit shift of the right of parent function $y=x^3$. Therefore, the given statement is false.
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