How do you graph and list the amplitude, period, phase shift for y=1/2cosx+5/2?

1 Answer
Shell
Sep 22, 2016

Amplitude 1/2, period=2pi and phase shift=0 (none).

Explanation:

The general equation of cosine is y=Acos(Bx-C)+D where

A= amplitude
(2pi)/absB= period
C/B= phase shift
D= vertical shift

For the equation y=1/2cosx+5/2
A=1/2, B=1, C=0, D=5/2
Amplitude = 1/2
Period=(2pi)/abs1=2pi (the "regular" period of cosine)
Phase shift = 0/1 =0 (no phase shift)
Vertical shift =5/2 (up 5/2)

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