Question 870140: Graph one period of the graph, and state the Amplitude, period, and phase shift(if any). Problem y=3cos(x-pi/2)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Graph one period of the graph, and state the Amplitude, period, and phase shift(if any). Problem y=3cos(x-pi/2)
***
Form of equation for cos function: Acos(Bx-C), A=amplitude, Period=2π/B, Phase shift=C/B
For given cos function: y=3cos(x-pi/2)
Amplitude=3
B=1
Period=2π/B=2π
1/4 Period=π/2
C=π/2
Phase shift=C/B=(π/2)/1=π/2(shift to the right)
..
coordinates of basic cos function for one period:
(0, 1), (π/2, 0), (π, -1), (3π/2,0), (2π, 1)
..
coordinates of given cos function for one period: (with amplitude=3, phase shift π/2 to the right)
(0,0), (π/2, 3), (π, 0), (3π/2,-3), (2π, 0)
See graph below:
|
|
|
