Question

Determine the amplitude or period as requested . Amplitude of y = - 1/5 * sin x a - 1/5 1/5 b 5 d. pi/5

Answer 1

The amplitude is 1/5

Explanation:

Given

`y = -(1)/(5)\sin(x)`

Required

Determine the amplitude

The general cosine function is:

`y = A\sin(k(x + c)) +d`

Where

`Amplitude = |A|`

Compare
`y = A\sin(k(x + c)) +d` and
`y = -(1)/(5)\sin(x)`

`A = -(1)/(5)`

So:

`Amplitude = |-(1)/(5)|`

`Amplitude = (1)/(5)`