How do you graph # y=-5 cos 6x#?

1 Answer
Jul 16, 2018

As below.

Explanation:

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

#"Given : " y = -5 cos 6x#

#A = -5, B = 6, C = D = 0#

#"Amplitude " = |A| = |-5| = 5#

#"Period " = (2 pi) / |B| = (2 pi) / 6 = pi/3#

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

#"Vertical Shift ' = D = 0#

graph{-5 cos(6x) [-10, 10, -5, 5]}