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: 10

Answer

See graph and explanations.

Work Step by Step

Using the graph in the exercise, given the line segment of $y=f(x)$, we can obtain the new line segment of $g(x)=f(-x)+3$ by first reflecting it around the y-axis (see problem 7) and then shifting it vertically 3 units up shown as the new red line segment in the figure.
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