Question

Relative to the graph of y=3sinx what is the shift of the graph of y=3sin(x+pi/3)

Answer 1

The shifts of the sinus function can be described with the formula:
asin(bx−c)+d, where
a is the amplitude
b is  the period
c is the phase shift 
d is the vertical shift
So, the graph y=3sinx is phase shifted. The phase shift can be calculated as c/b= pi/3/1=pi/3
So, the function is phase shifted for pi/3.