Chapter 7.6, Problem 1BGP

To determine

Find the translation of the given function $f\left(x\right)=4^x$ with respect to the given function graph.

Answer to Problem 1BGP

The graph of $q\left(x\right)=4^{x-5}$ is sifted $5-unit$ in positive $x-axis$ .

Explanation of Solution

Given information:

It is given in the question that, $q\left(x\right)=4^{x-5}$

By subtracted $"5"$ in $f\left(x\right)=4^x$ then $q\left(x\right)=4^{x-5}$ is arrived

So, by the concept of translation of graph when something is subtracted in the exponential part of the parent function then the graph is shifted in positive $x-axis$ .

So, the graph of $q\left(x\right)=4^{x-5}$ is sifted $5-unit$ in positive $x-axis$ .