Question 867242: Write the equation for a function f(t)= sin(t) whose graph is stretched vertically by a factor of 2, does four complete cycles from 0 to 2pi, and is shifted vertically by -7 units
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write the equation for a function f(t)= sin(t) whose graph is stretched vertically by a factor of 2, does four complete cycles from 0 to 2pi, and is shifted vertically by -7 units
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Form of equation for sin function: y=Asin(Bx-C)+D, A=amplitude, Period=2π/B, D=vertical shift
For given problem:
Amplitude=1
Period=2π/4=π/2=2π/B
B=4
vertical stretch=2
vertical shift=-7 down
Equation:2sin(4x)-7
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