How do you find the amplitude, period and phase shift for $y = cos (x + Pi/4)$ ?

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Answer 1 · 2015-09-24T01:31:23

See the explanation.

General form of cosine: $y=acos(bx+c)$

Amplitude is equal to $a$ , so: $A=1$
Period: $T=(2pi)/b=(2pi)/1=2pi$
Phase shift: $c=pi/4$ , function is shifted to the left.

How do you find the amplitude, period and phase shift for y = cos (x + Pi/4)y = cos (x + Pi/4)?