Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.5 - Graphs of Sine and Cosine Functions - Exercise Set - Page 596: 57

Answer

Please see below.
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Work Step by Step

Please note that the graph of the function $y=2\sin \frac{1}{2}x +1$ (the red graph) is the graph of the function $y=2\sin \frac{1}{2}x$ (the blue graph) shifted up one unit. The period of the graph is $\frac{2\pi }{\frac{1}{2}}=4\pi$.
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