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

1 Answer
Jun 18, 2018

As below.

Explanation:

Standard form of cosine function is y = A cos (Bx - C) + D

"Given : " y = 3 cos (x - pi) - 2

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

"Amplitude " = |A| = 3

"Period " = (2pi) / |B| = (2pi) / 1 = 2pi

"Phase Shift " = -C / B = -pi / 1 = -pi, pi " to the LEFT"

"Vertical Shift " = D = -2

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