College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 242: 20

Answer

(a) shift $f(x)$ right 4 units (b) shift $f(x)$ down 4 units

Work Step by Step

(a) The graph $g(x)=(x-4)^{3}$ is obtained by shifting $f(x)=x^3$ right 4 units. (b) The graph $g(x)=x^{3}-4$ is obtained by shifting $f(x)=x^3$ down 4 units.
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