Answer:
The amplitude is 1/5
Step-by-step explanation:
Given
[tex]y = -\frac{1}{5}\sin(x)[/tex]
Required
Determine the amplitude
The general cosine function is:
[tex]y = A\sin(k(x + c)) +d[/tex]
Where
[tex]Amplitude = |A|[/tex]
Compare [tex]y = A\sin(k(x + c)) +d[/tex] and [tex]y = -\frac{1}{5}\sin(x)[/tex]
[tex]A = -\frac{1}{5}[/tex]
So:
[tex]Amplitude = |-\frac{1}{5}|[/tex]
[tex]Amplitude = \frac{1}{5}[/tex]
