Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - 6.4 Translations of the Graphs of the Sine and Cosine Functions - 6.4 Exercises - Page 613: 35

Answer

amplitude $1$, period $ \frac{2\pi}{3}$, vertical translation $2$ up, and phase shift $\frac{\pi}{15}$ to the right.

Work Step by Step

Given $y=2-\ sin(3x-\frac{\pi}{5})=2-\ sin[3(x-\frac{\pi}{15})]$, we can find the following: amplitude $1$, period $p=\frac{2\pi}{3}$, vertical translation $2$ up, and phase shift $\frac{\pi}{15}$ to the right.
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.