SOLUTION: Write an equation of the sine function with: amplitude = 7 period = 3π phase shift = π vertical shift = -7

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Question 932529: Write an equation of the sine function with:
amplitude = 7
period = 3π
phase shift = π
vertical shift = -7

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Write an equation of the sine function with:
amplitude = 7
period = 3π
phase shift = π
vertical shift = -7
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Form:: y = a*sin(bx+c)+d
Amplitude:: a = 7
Phase::: (2pi)/b = 3pi implies that b = 2/3
Phase shift:: -c/b = pi implies that c = -(2pi/3)
Horizontal shift:: d = -7
-----
Equation:
y = 7*sin((2/3)x -(2/3)pi)-7
OR
y = 7*sin((2/3)(x-pi))-7
---------------
Cheers,
Stan H.
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