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: 105

Answer

See graph and explanations.
1581075485

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 $h(x)=\frac{1}{2}(x-3)^3-2$, shift the original curve horizontally 3 units to the right, then shrink the result vertically by a factor of 2, and finally shift the result vertically 2 units down (shown as the red curve).
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