Question

Find the amplitude of y = -4 sin x.

Answer 1

Answer: The amplitude is 4.

Explanation:

Given the form of the sine function:

`y=Asin(Bx)+k`

Where
`|A|` is the amplitude,
`(2\pi )/(B)` is the period and "k" is the vertical shift of the wave.

You know that, in the sine function given (
`y = -4 sin x`), you can identify the amplitude and the period. These are:

• The amplitude is:

`|A|=|-4|=4`

• And the period is:

`(2\pi )/(1)=2\pi`

Therefore, the amplitude of
`y = -4 sin x` is:

`|A|=4`