# How do you draw a sketch of y = 1 + cos (x - pi)

Jul 13, 2018

As below

#### Explanation:

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

Given $y = \cos \left(x - \pi\right) + 1$

$A = 1 , B = 1 , C = \pi , D = 1$

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

Period $= \frac{2 \pi}{|} B | = 2 \pi$

Phase Shift $= - \frac{C}{B} = - \frac{\pi}{1} = - \pi$, $\pi$ to the LEFT

Vertical Shift $= 1$

graph{cos (x - pi) + 1 [-10, 10, -5, 5]}