Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.2 - Combining Functions; Shifting and Scaling Graphs - Exercises 1.2 - Page 21: 70

Answer

See the figure and steps below.

Work Step by Step

Rewrite the function as $ y=-(x-1)^{3}+2$. As shown in the graph above, start with the plot of $ y=-x^3$ (use $ y=x^3$ if you need to) and shift the curve 1 unit right and 2 units up.
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