# How do you graph  y=-2cosx+1?

Jun 25, 2018

As below.

#### Explanation:

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

$\text{Given } y = - 2 \cos x + 1$

$A = - 2 , B = 1 , C = 0 , D = 1$

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

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

$\text{Phase Shift } = - \frac{C}{B} = 0$

$\text{Vertical Shift } = D = 1$

graph{-2 cos x + 1 [-10, 10, -5, 5]}