# How do you find the amplitude, period, and shift for #y =3cos(6x+8pi)#?

##### 1 Answer

Mar 23, 2016

See solution below.

#### Explanation:

**Amplitude:**

In a function of the form

**Phase shift:**

The phase shift can be found by setting the numbers in parentheses to 0.

Therefore, the phase shift is

**Period:**

The formula for period in sine and cosine functions is

In your equation, we're going to have to factor b out.

Here is the graph of your function:

**Practice exercises:**

- Identify the period, phase shift and amplitude of
#y = -4cos(2x - pi/2)# . Graph if possible.

Good luck!