Question

What is the period of
y= 4 sin ( -2x+7 ) -1?

Give an exact value.

Answer 1

The period is of
`\pi` units

Explanation:

Function sine:

A function sine has the following format:

`y = Asin(Bx + C)`

It's period is given by:

`P = (2\pi)/(|B|)`

In this question, we are given the following function:

`y = 4sin(-2x+7)-1`

This means that
`B = -2`, so
`|B| = 2`, and the period is:

`P = (2\pi)/(|B|) = (2\pi)/(2) = \pi`

The period is of
`\pi` units