# How to plot the graph of y = - cos (2x - pi) + 1?

Apr 1, 2018

As below.

#### Explanation:

$y = A \cos \left(B x - C\right) + D$

Given $y = - \cos \left(2 x - \pi\right) + 1$

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

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

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

$\text{Phase Shift " = C / B = pi / 2, " " pi/2 " to the right}$

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