College Algebra (10th Edition)

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

Chapter 3 - Section 3.4 - Library of Functions; Piecewise-defined Function - 3.4 Assess Your Understanding - Page 247: 67

Answer

The graph of $y=(x-1)^{3}+2 $ is obtained from $y=x^{3}$ by shifting it 1 unit to the right and then by shifting it up 2 units.

Work Step by Step

The graph of $y=(x-1)^{3}$ is obtained from $y=x^{3}$ by shifting it 1 units to the right. The graph of $y=(x-1)^{3}+2 $ is obtained from $y=(x-1)^{3}$ by shifting it up 2 units. So, The graph of $y=(x-1)^{3}+2 $ is obtained from $y=x^{3}$ by shifting it 1 unit to the right and then by shifting it up 2 units.
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