# How do you graph y=-5cos(1/2)x?

May 19, 2018

You have an inverted graph of cosine with a vertical stretch factor of 5 was a horizontal stretch factor of 2, it has no shift.

#### Explanation:

I assume you mean:

y = − 5 cos ( 1/ 2 x)

if so standard form is:

$a \cos \left(b x - c\right) + d$

$a = \text{amplitude (vertical stretch)}$
$b = \text{horizontal stretch}$
$c = \text{horizontal shift}$
$d = \text{vertical shift}$

if $a < 0$ graph is inverted.

so you have an inverted graph of cosine with a vertical stretch factor of 5 was a horizontal stretch factor of 2, it has no shift.