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

1 Answer
Jul 18, 2018

Answer:

As below.

Explanation:

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]}