Write a sine function that has a midline of 5, an amplitude of 4 and a period of 3pi/2

Step-by-step explanation:

The standard form for this function is

y = Asin(Bx - C) + D where

A is the amplitude,

B is used to find the period in the formula ,

C is used to find the phase shift in the formula ,

and D is the midline which either moves the function up or down from its natural midline of 0.

We have no given phase shift, so there is no C value. The amplitude is easy; we just fill in A as 4. The period is another story:

and we solve for B by cross multiplying:

3πB = 4π and

so

so the function is

1.0

step-by-step explanation: