Write an equation for a sine curve that has the given amplitude and period, and which passes through the given point.
amplitude 5, period 6, point (2, 0)

ANSWER

EXPLANATION

Let the equation of the sine curve be of the form;

where a=5 is the amplitude and period,

This implies that

We substitute the values we got so far into our equation to obtain;

When we substitute (2,0) we obtain;

Solve for c.

Hence our equation becomes

The correct choice is D.

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