Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 12 - Counting and Probability - Cumulative Review - Page 890: 11

Answer

See graph (red).

Work Step by Step

To graph $y=3sin(2x+\pi)$, start from one period of $y=sin(x)$, compress horizontally by a factor of 1/2, shift $\frac{\pi}{2}$ to the left, then stretch vertically by a factor of 3. Repeat the resulting curve horizontally to cover the window. See graph (red).
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