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

1 Answer
May 10, 2018

As below

Explanation:

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

Given #y = cos (x-pi) - 3#

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

#Amplitude = |A| = 1#

#"Period " = P = (2pi) / |B| = 2pi#

#"Phase Shift " = -C / B = pi, " " pi " to the right"#

#"Vertical Shift " = D = -3, " 3 down"#

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