Consider the following graph of the function

Question

Consider the following graph of the function f(x) which is a transformation of the sine function, g(x)=sin⁡(x). Find a formula for f(x).

f(x)=  

 

Answer 1

f(x)=sin(x)+3

x=0, f(x)=3

x=pi/2,,f(x)=4

x=pi, f(x)=3

x=3pi/2,,,f(x)=2