How do you graph and list the amplitude, period, phase shift for #y=cos((3x)/4)-4#?

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Answer 1 · 2018-07-18T02:37:33

As below.

#y = cos ((3/4) x ) - 4#

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

#A = 1, B = 3/4, C = 0, D = -4#

#Amplitude = |A| = 1#

#"Period " = (2pi) / |B| = (2pi) / (3/4) = (8 pi) / 3#

#"Phase Shift " = (-C) / B = 0#

#"Vertical Shift " = D = -4#

graph{cos ((3/4)x) - 4 [-10, 10, -5, 5]}