type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar…

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. function g is a transformation of the parent sine function, $f(x)=sin(x)$. $g(x)=\frac{1}{3}sin(2x - 5)+1$. the phase shift of function g is

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. function g is a transformation of the parent sine function, $f(x)=sin(x)$. $g(x)=\frac{1}{3}sin(2x - 5)+1$. the phase shift of function g is

Answer

Explanation:

Step1: Recall phase - shift formula

For a sinusoidal function of the form $y = A\sin(Bx - C)+D$, the phase - shift is given by $\frac{C}{B}$.

Step2: Identify values of B and C

In the function $g(x)=\frac{1}{3}\sin(2x - 5)+1$, we have $B = 2$ and $C = 5$.

Step3: Calculate the phase - shift

Using the formula $\frac{C}{B}$, we substitute $B = 2$ and $C = 5$ to get $\frac{5}{2}$.

Answer:

$\frac{5}{2}$