Hi there! :)
Answer:
2nd choice. f(x) = 4 sin x + 2
Step-by-step explanation:
Recall that the transformations form of a sine function is:
y = ±a sin(b(x-h)) + k
Where:
'a' changes the amplitude
'b' changes the period
'h' is a horizontal shift
'k' is a vertical shift, or a change in the midline.
In this instance, the function has a midline of y = 2, which means an equation representing this must have a 'k' value of 2.
The only equation that contains this value is:
f(x) = 4 sin x + 2.
