# How do you find the amplitude and period of a function #y=cos²(x)#?

##### 1 Answer

Dec 7, 2015

First, simply graph each function ... the **blue** line is the new function and the **red** line is **cos x** .

#### Explanation:

Since this function is squared, it must always be positive. Also, since cos x fluctuates between -1 and 1, then squaring it, the new function will fluctuate between 0 and 1.

The **period** will also be **cut in half** .

amplitude

period

hope that helped