SOLUTION: Find the period, vertical phase shift, horizontal phase shift and the graph F(x) = 3 cos ((pi/2) - (pi)(x))

Algebra ->  Trigonometry-basics -> SOLUTION: Find the period, vertical phase shift, horizontal phase shift and the graph F(x) = 3 cos ((pi/2) - (pi)(x))       Log On


   

Question 791028: Find the period, vertical phase shift, horizontal phase shift and the graph
F(x) = 3 cos ((pi/2) - (pi)(x))
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the period, vertical phase shift, horizontal phase shift and the graph
F(x) = 3 cos ((pi/2) - (pi)(x))
..
Form of equation for cos function: y=Acos(Bx-C)+D, A=amplitude, Period=2π/B,
C/B= Hor Phase shift, D=vertical phase shift
Rewrite given function: 3cos(-pi*x+pi/2)
Amplitude=3
B=π
Period=2π/B=2
Hor phase shift=C/B=(π/2)/π=1/2 (shift to the right)
Vert phase shift: none
see graph below:
+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C3cos%28-pi%2Ax%2Bpi%2F2%29%29+