How do you graph and list the amplitude, period, phase shift for #y=-4cos5x#?

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Answer 1 · 2018-06-19T06:52:15

As below.

Cosine Function #y = A cos (Bx - C ) + D#

#y = -4 cos 5x#

#A = -4, B = 5, C = D = 0#

#Amplitude = |A| = |-4| = 4#

#"Period " = (2pi) / |B| = (2pi) / 5#

#"Vertical Shift " = D = 0#

#"Phse Shift " = -C / B = 0#

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