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

1 Answer
Jul 18, 2018

As below.

Explanation:

y = 2 cos (x-pi) - 3y=2cos(xπ)3

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

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

Amplitude = |A| = 2Amplitude=|A|=2

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

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

"Vertical Shift " = D = -3

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