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

For an equation such as

$y = A \cdot \cos \left(B \cdot x + C\right) + D$

We have that

amplitude is $A$

period is (2*π)/B

phase shift is −C/B

vertical shift is $D$

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