What trigonometric function represents the graph? (6 points)A. f(x) = 4 sin(x − pi over 2 )B. f(x) = 4 cos(x − pi over 2 )C. f(x) = 4 sin(x − pi over 2 ) + 1D. f(x) = 4 cos(x − pi over 2 ) + 1

The correct option is: A. f(x) = 4sin(x − π/2), because:

 1. When you evaluate x=π/2 in the function f(x) = 4sin(x − π/2), you obtain:

 f(π/2) = 4sin(π/2− π/2)
 f(π/2) = 4sin(0)
 f(π/2) = 4(0)
 f(π/2) = 0 (As you can see in the graphic)

 2. If you evaluate x=π in the same function, then you have:

 f(π) = 4sin(π− π/2)
 f(π) = 4sin(π/2)
 f(π) = 4 (As it is shown in the graphic)