Question 498860: G(x)=2cos(2pi(x+2pi/3))-5
With the respect of the fuction F(x)=cos(x).
What is the Amplitude,Period,Phase Shift,Vertical Translation of the function G(x)?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! G(x)=2cos(2pi(x+2pi/3))-5
With the respect of the fuction F(x)=cos(x).
What is the Amplitude,Period,Phase Shift,Vertical Translation of the function G(x)
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Standard form of equation for cos function: A cos(Bx-C), A=amplitude, Period =2π/B, Phase Shift=C/B
..
For given cos function: 2cos(2pi(x+2pi/3))-5
Amplitude=2
B=2π
Period=2π/B=2π/2π=1
Phase shift=2π/3=2.0944 (to the left)
Vertical Shift= 5 units down
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