How do you use the amplitude and period to graph y=cos(x°+45°)-1?

1 Answer
May 21, 2016

Amplitude is 1 and period is 2pi.

Explanation:

In a typical sine or cosine function y=alphacos(betax+gamma)+delta,

alpha denotes amplitude,

period is (2pi)/beta or 360^o/beta

phase shift is given by (-gamma)/beta

and delta denotes vertical shift.

Hence in cos(x^o+45^o) -1

Amplitude is 1 and period is 2pi.

graph{cos(x+pi/4) -1 [-10, 10, -5, 5]}