Answer:
The sine function is:
[tex]y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2[/tex]
Step-by-step explanation:
We need to recall that a sine function can write as:
[tex]y(x)=Asin[B(x+C)]+D[/tex]
Where:
- A is the amplitude of the function
- B is the period
- C is the phase shift left
- D is the vertical shift
So we just need to use the listed attributes
Therefore, the sine function is:
[tex]y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2[/tex]
I hope it helps you!
