# How do you graph y=-1/3cos(x/2)?

Jun 28, 2018

As below.

#### Explanation:

"Standard form of cosine function is ' y = A cos (Bx - C) + D

$\text{Given : } - \left(\frac{1}{3}\right) \cos \left(\frac{x}{2}\right)$

$A = - \frac{1}{3} , b = \frac{1}{2} , C = D = 0$

$A m p l i t u \mathrm{de} = | A | = | - \frac{1}{3} \setminus = \frac{1}{3}$

$\text{Period } = \frac{2 \pi}{|} B | = \frac{2 \pi}{\frac{1}{2}} = 4 \pi$

No vertical and phase shifts as C = D = 0

graph{-(1/3) cos (x/2) [-10, 10, -5, 5]}