Answer:
, the third one
Step-by-step explanation:
Explaining the sine function:
The sine function is defined by:
![S = Asin(p(x - x_{0})) + V](https://tex.z-dn.net/?f=S%20%3D%20Asin%28p%28x%20-%20x_%7B0%7D%29%29%20%2B%20V)
In which A is the amplitude,
is the period,
is the horizontal shift and V is the vertical shift.
So, in your problem:
The amplitude is 4, so A = 4.
The period is
, so
.
There is no horizontal shift, so
.
The vertical shift is −3, so V = -3.
The sine function that represents these following conditions is
, the third one