How do you graph # y=3cos(x/2)#?

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Answer 1 · 2018-07-18T02:40:29

As below.

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

#"Given " y = 3 cos (x/2)#

#A = 3, B = (1/2), C = D = 0#

#Amplitude " = |A| = 3#

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

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

#"Vertical Shift " = D = 0#

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