# How do you find the amplitude, period and phase shift for #y = 2 cos (x/2 - Pi/6)#?

##### 2 Answers

Jul 29, 2015

#### Explanation:

Amplitude: (-2, 2)

Period of cos x is

Phase shift:

Jul 29, 2015

There are several steps.

#### Explanation:

The form of this equation is

(Some textbooks use the first, others use the second.)

The Amplitude is

Period can be found by

Phase Shift is found by solving:

For

#y = 2cos(1/2x-pi/6)" "# (so it is clear that#B = 1/2# )

**Amplitude:**

**Period:**

Found by simplifying

**Phase Shift:**

Found by solving: