SOLUTION: For the function f(x)={{{(-1/2)cos (3t+3pi)-3}}}, identify: a. the amplitude b. the period c. the phase shift d. the vertical shift

Algebra ->  Trigonometry-basics -> SOLUTION: For the function f(x)={{{(-1/2)cos (3t+3pi)-3}}}, identify: a. the amplitude b. the period c. the phase shift d. the vertical shift      Log On


   

Question 753623: For the function f(x)=%28-1%2F2%29cos+%283t%2B3pi%29-3, identify:
a. the amplitude
b. the period
c. the phase shift
d. the vertical shift
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
For the function f(x)=%28-1%2F2%29cos+%283t%2B3pi%29-3, identify:
a. the amplitude
b. the period
c. the phase shift
d. the vertical shift
d. the vertical shift
***
Equation for basic cos function: y=Acos(Bx-C), A=amplitude, period=2π/B, Phase shift=C/B
For given equation: f(x)=%28-1%2F2%29cos+%283t%2B3pi%29-3
a. amplitude=1/2
B=3
b. period=2π/B=2π/3
C=3π
c. phase shift=C/B=3π/3=π (shift to the left)
d. vertical shift: down 3 units