SOLUTION: I need to find the amplitude, period and displacement of y=3cos(2x-pi/2) Thanks

Question 712880: I need to find the amplitude, period and displacement of y=3cos(2x-pi/2)
Thanks
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
General form:
y = a cos k(x-b)
where
amplitude is |a|
period is 2(pi)/k
phase shift is b
.
Your equation
y=3cos(2x-pi/2)
factor out the 2:
y=3cos 2(x-pi/4)
so, from inspection then
amplitude: 3
phase shift: (pi)/4
period:
(2(pi))/2
pi

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