Question

Use numerals instead of words. If necessary, use / for the fraction bar. Function g is a transformation of the parent sine function, f(x) = sin(x). g(x) = 1/3sin(2x - 5) +1 the phase shift of function g is ___.

Answer 1

The phase shift of function g is 5/2 units to the right.

Step-by-step explanation:

The phase shift of function g can be determined by examining the argument of the sine function in its equation. In this case, the argument of the sine function is 2x - 5. The phase shift occurs when the argument is equal to 0 or a multiple of 2π (the period of the sine function).

To find the phase shift, we set the argument equal to 0 and solve for x:

2x - 5 = 0
x = 5/2

Therefore, the phase shift of function g is 5/2 units to the right.