What is the general equation of a sine function with an amplitude of 2, a period of pi and a horizontal shift of pi units?

The general form of the sine function is

Explanation:

The general form of a sinusoidal function is in the form

Here, A = amplitude

C = Horizontal shift

D = Vertical shift or mid line

The formula for finding the period is

Further Explanation:

It has been given that, the amplitude is 2. Thus, A = 2

Now, the period is π. Thus, we can use the formula for period for finding the value of B.

Therefore, the value of B is 2.

Now, since the variable c is phase shift or horizontal shift and it has been given that horizontal shift is π units.

Thus, C = π

Therefore, the general form of the sine function is

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answer: -2+√x,-2-√x

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