Chapter 7.6, Problem 1AGP

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 1AGP

The graph of $g\left(x\right)=4^x+3$ is sifted $3-unit$ in positive $y-axis$ .

Explanation of Solution

Given information:

It is given in the question that, $g\left(x\right)=4^x+3$

By added $"3"$ in $f\left(x\right)=4^x$ then $g\left(x\right)=4^x+3$ is arrived

So, by the concept of translation of graph when something is added in parent function then the graph is shifted in positive $y-axis$ .

So, the graph of $g\left(x\right)=4^x+3$ is sifted $3-unit$ in positive $y-axis$ .