How do you find the amplitude, period, vertical and phase shift and graph #y=1/4cos(2theta-150)+1#?

Question

3700 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-01T09:13:19

Amplitude # = 1/4#

Period # = pi#

Phase shift #= 75# to the right

Vertical shift # = 1# to the top.

Use the form #y = a cos(bx - c) + d# to find the variables used to find the amplitude, period, phase shift, and vertical shift

Given : (1/4) cos (2theta - 150) + 1#

graph{(1/4) sin(2x - 150) + 1 [-10, 10, -5, 5]}

Amplitude #a = 1/4#

Period # = - 2pi / |b| = 2pi / 2 = pi#

Phase shift # = c / b = 150 / 2 = 75# to the right

Vertical shift # = d = 1# to the top.