Precalculus (6th Edition) Blitzer

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

Chapter 5 - Cumulative Review Exercises - Page 709: 10


See graph and explanations.

Work Step by Step

Given $y=2sin\frac{x}{2}+1$, we can identify its period as $p=\frac{2\pi}{1/2}=4\pi$. To graph the function, start from $y=sin(x)$ (green curve), stretch horizontally by a factor of 2, stretch vertically by a factor of 2, then shift 1 unit up to get the red curve for $y=2sin\frac{x}{2}+1$ as shown in the figure.
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