How do you find the amplitude, period, phase shift given #y=2+cos(5x+pi)#?

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Answer 1 · 2016-10-17T11:56:30

For an equation such as

#y=A*cos(B*x+C)+D#

We have that

amplitude is #A#

period is #(2*π)/B#

phase shift is #−C/B#

vertical shift is #D#

where in our case #A=1# , #B=5# ,#C=pi# , #D=2#