How do you graph # y=-2cosx+1#?

1 Answer
Jun 25, 2018

As below.

Explanation:

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

#"Given " y = -2 cos x + 1#

#A = -2, B = 1, C = 0, D = 1#

#Amplitude = |A| = |-2| = 2#

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

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

#"Vertical Shift " = D = 1#

graph{-2 cos x + 1 [-10, 10, -5, 5]}