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

Question

2852 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-10T02:26:20

As below

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]}