Write an equation for the function that is described by the given characteristics.
A sine curve with a period of 4π, an amplitude of 4, a left phase shift of , and a vertical translation down 5 units.

Question

Write an equation for the function that is described by the given characteristics. ​
A sine curve with a period of 4π, an amplitude of 4, a left phase shift of  , and a vertical translation down 5 units.
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Quizplus · Accepted Answer

The general equation for a sine curve with amplitude A, period B, left phase shift C, and vertical translation D is:

y = A*sin((2*pi/B)*(x-C))+D

Plugging in the given values, we get:

y = 4*sin((2*pi/(4*pi))*(x-11))+(-5)

Simplifying:

y = 4*sin(0.5*(x-11))-5

This matches the equation given in choice C.

Write an Equation for the Function That Is Described by the Given