Answer
The sine function is
f(x) = (4 sin 2πx) + 3
Explanation
Sine functions usually have the general format of
f(x) = (A sin wx) + B
For this one, we are told that the function has a midline of 3, that is, when x = 0, f(x) = 3
f(x) = (A sin wx) + B
3 = (A sin 0) + B
3 = 0 + B
B = 3
Then,
Ampiltude = A = 4
w = period = 2pi or 2π
So, we can substitute all the values in the general sine function formula
f(x) = (A sin wx) + B
f(x) = (4 sin 2πx) + 3
Hope this Helps!!!
