The graph of a sine function g(x) is presented below.

Solution
To determine the vertical translation
We need to determine the amplitude
The amplitude is
[tex]\frac{10-4}{2}=\frac{6}{2}=3[/tex]Since the minimum is 4
Hence, the Vertical shift is 3+4 = 7
Part B
Given f(x) = 4 sin(θ - 45) + 8
The vertical translation is 8