# How do you find the amplitude and period of a function y=-5 cos 6x?

Aug 8, 2016

amplitude = 5
period $= \frac{\pi}{3}$

#### Explanation:

For the cosine function $\textcolor{red}{y = a \cos b x}$

The amplitude = |a| and period $= \frac{2 \pi}{b}$

here a = -5 and b= 6

$\Rightarrow \text{amplitude} = | - 5 | = 5$

$\text{ and period} = \frac{2 \pi}{6} = \frac{\pi}{3}$