f(x)=\sin (x) g(x)=(1)/(3)\sin (2x- 5) +1 what is the phase shift of function g?
To find the phase shift of function g(x), we need to determine the horizontal displacement of the graph compared to the standard sine function.
The standard sine function has a phase shift of 0, which means it starts at the origin (0,0) on the coordinate plane.
Function g(x) is obtained by scaling, compressing, and shifting the standard sine function.
The argument of the sine function in g(x) is (2x - 5), which means the graph is shifted horizontally by 5/2 units to the right.
Therefore, the phase shift of function g is 5/2 units to the right.