Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.4 - Graphs of Sine and Cosine Functions - 6.4 Exercises - Page 464: 52


The graph is attached.

Work Step by Step

We know that the sine and cosine functions are given in the form $y=acos(bx-c)+k$ and $y=asin(bx-c)+k$. In both equations, $a$ is the amplitude, and $\frac{2\pi}{b}$ is the period. We also know that $k$ is the number of units the graph is shifted up by, and $c$ is the number of units the graph is shifted right by. (Pay close attention to the sign of $c$.) Knowing this, we create the graph.
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