Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - Test - Page 302: 16

Answer

See graph and explanations.

Work Step by Step

(a) Start from the original curve (red), shift it 2 units up to get $f(x)+2$ as shown in the figure-(a) (blue). (b) Start from the original curve (red), shift it 2 units to the left to get $f(x+2)$ as shown in the figure-(b) (blue). (c) Start from the original curve (red), reflect it around the x-axis to get $-f(x)$ as shown in the figure-(c) (blue). (d) Start from the original curve (red), reflect it around the y-axis to get $f(-x)$ as shown in the figure-(d) (blue). (e) Start from the original curve (red), stretch it vertically by a factor of 2 to get $2f(x)$ as shown in the figure-(e) (blue).
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