# How do you graph y=-3+2cos(x-pi)?

Jul 18, 2018

As below.

#### Explanation:

$y = 2 \cos \left(x - \pi\right) - 3$

Standard form of a cosine function is $y = A \cos \left(B x - C\right) + D$

$A = 2 , B = 1 , C = \pi , D = - 3$

$A m p l i t u \mathrm{de} = | A | = 2$

"Period ' = (2 pi) / |B| = 2pi

"Phase Shift " = -C / B = -pi, color(crimson)( pi " to the LEFT")

$\text{Vertical Shift } = D = - 3$

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