Chapter 7.6, Problem 5CYU

To determine

By using the graph of the given function $g\left(x\right)$ write its equation according to the parent function.

Answer to Problem 5CYU

The equation of the function $g\left(x\right)=2^{x-4}$

Explanation of Solution

Given information:

It is given in the question that, the parent function is $f\left(x\right)=2^x$

And the graph of given function $g\left(x\right)$ is,

  

Since the graph of the function $f\left(x\right)=2^x$ is

  

By observing the graph of the two given function , the graph of $g\left(x\right)$ shifted $4-unit$ in the direction of positive $x-axis$ which is only possible when the equation of the function $g\left(x\right)$ is $g\left(x\right)=2^{x-4}$ .