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

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Answer 1 · 2018-06-18T01:35:16

As below.

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]}