## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 6 - 6.4 - Graphs of Sine and Cosine Functions - 6.4 Exercises - Page 464: 14

#### Answer

Amplitude will increase by a factor of two and Period will stay the same. There is no shift.

#### Work Step by Step

We know that the sine and cosine functions are given in the form $y=acos(bx)$ and $y=asin(bx)$. In both equations, $a$ is the amplitude, and $\frac{2\pi}{b}$ is the period. Knowing this, we see that for the given function, Amplitude will increase by a factor of two and Period will stay the same. There is no shift.

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