# A sinusoidal function has an amplitude of 6 units, a period of 45 degrees, and a minimum at (0,1), Determine an equation of the function?

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### 1 Answer

A sinusoidal function is of the form y = A*sin(n*x + C) + D.

A is the amplitude of the function and in this case A is equal to 3. As the minimum point is at (0, 1) the graph has to be lifted up by 4 units, D = 4. The period of the function is `pi/4` , as a result n = 16 and `C = -pi/2` to account for the fact that the function has a minimum at (0, 1).

**The resulting equation of the function is **`y = 3*sin(16*x - pi/2)+4`