Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.6 - Transformations of Functions - Exercise Set - Page 242: 100

Answer

See graph and explanations.

Work Step by Step

Step 1. Graph the function $f(x)=x^3$, shown as the blue curve in the figure. Step 2. To obtain the curve of function $h(x)=-(x-2)^3$, shift the original curve horizontally 2 units to the right, then reflect the result around the x-axis, shown as the red curve.
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