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

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Answer 1 · 2018-07-18T02:33:43

As below.

#y = 2 cos (x-pi) - 3#

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

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

#Amplitude = |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]}