Chapter 7.6, Problem 16PPS

To determine

Find the translation of the given function relates to its parent function.

Answer to Problem 16PPS

The graph of $g\left(x\right)=4^x+6$ is sifted $6-unit$ in positive $y-axis$ .

Explanation of Solution

Given information:

It is given in the question that, $g\left(x\right)=4^x+6$

Since $g\left(x\right)=4^x+6$ so let the parent function is $p\left(x\right)=4^x$

By added $"6"$ in parent function is $p\left(x\right)=4^x$ then $g\left(x\right)=4^x+6$ is arrived

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

So, the graph of $g\left(x\right)=4^x+6$ is sifted $6-unit$ in positive $y-axis$ .