Question

Question #edd07

Answer 1

`pi/2`

Explanation:

For a sine function in a form of `asin(bx)+c`, `absa` represents the amplitude of the function, `((2pi)/b)` represents the period, and `c` represents the midline.

Since 4 is multiplied by `x`, we solve the following:
`p=(2pi)/4`
`p=pi/2`
That is the answer!
Note that the negative `pi` in the function does not affect the period it.
To help our understanding, we have our function graphed. We see that the distance between each set of "peaks" is `pi/2`.
graph{3sin(4x-pi) [-10, 10, -5, 5]}