Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 4 - Test - Page 187: 4d

Answer

-3

Work Step by Step

We first write the equation in the form $y=c+a \cos [b(x-d)]$. Therefore, $y=3-6\sin (2x+\frac{\pi}{2})$ becomes $y=3-6\sin [2(x+\frac{\pi}{4})]$. The y-intercept of a graph is found by substituting $x=0$ in the equation. Therefore, $y=3-6\sin [2(x+\frac{\pi}{4})]$ $y=3-6\sin [2(0+\frac{\pi}{4})]$ $y=3-6\sin [2(\frac{\pi}{4})]$ $y=3-6\sin [\frac{\pi}{2}]$ $y=3-6(1)$ $y=3-6$ $y=-3$ Therefore, the y-intercept is -3.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.