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 241: 31

Answer

See graph and explanations.

Work Step by Step

Using the graph in the exercise, given the curve of $y=f(x)$, we can obtain the new curve of $g(x)=2f(x+2)+1$ by first shifting the original horizontally 2 units to the left, then stretching the result vertically two times, and finally shifting it up 1 unit (shown as the new red curve in the figure).
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