How do you graph and list the amplitude, period, phase shift for #y=3cos(1/2)x+4#?

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Answer 1 · 2018-06-19T07:11:38

As below.

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

#y = 3 cos (x/2) + 4#

#Amplitude = |A| = 3#

#"Period " = (2pi) / |B| = (2pi) / (1/2) = 4pi#

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

#"Vertical Shift " = D = 4#

graph{3 cos (x/2) + 4 [-10, 10, -5, 5]}