SOLUTION: Write a sine function with the given amplitude, period, and vertical shift. amplitude: 4 period: 2/3pi vertical shift: -2

Question 867244: Write a sine function with the given amplitude, period, and vertical shift.
amplitude: 4
period: 2/3pi
vertical shift: -2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Write a sine function with the given amplitude, period, and vertical shift.
amplitude: 4
period: 2/3pi
vertical shift: -2
***
Form of equation for sin function: y=Asin(Bx-C)+D, Amplitude=A, Period=2π/B, Phase shift=C/B, D=Vertical shift
For given problem:
Amplitude,A=4
Period=2π/3=2π/B
B=3
C=0
D=-2
Equation: y=4sin(3x)-2

RELATED QUESTIONS
Write a cosine function with the given amplitude, period, and vertical shift.... (answered by lwsshak3)

Write a sine function with the given amplitude, period, phase shift, and vertical shift. (answered by lwsshak3)

write an equation of the sine function with the given amplitude, period, phase shift,... (answered by lwsshak3)

Write a sinusoidal function to Sine Function: amplitude= 15, period= 4π, phase... (answered by Alan3354)

Write an equation for the function indicated and containing the following properties.... (answered by Alan3354,ikleyn)

Write an equation of the sine function with each amplitude, period, and phase shift.... (answered by solver91311)

Please help me solve this question, write an equation of the sine function Amplitude: 2 (answered by Alan3354)

Write an equation of the sine function with: amplitude = 7 period = 3π phase... (answered by stanbon)

Write the equation for a sin function Amplitude: 5, vertical shift: -4, phase shift:... (answered by Alan3354,Theo)