How do you graph and list the amplitude, period, phase shift for #y=cos2x-1#?

Question

1725 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-13T12:07:05

As below.

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

#y = cos 2x - 1#

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

#Amplitude = |A| = 1#

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

Phase shift # = -C / B = 0#

Vertical Shift #= D = -1#

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