Question 753623
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
d. the vertical shift
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Equation for basic cos function: y=Acos(Bx-C), A=amplitude, period=2π/B, Phase shift=C/B
For given equation: f(x)={{{(-1/2)cos (3t+3pi)-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