Chapter 7.6, Problem 20PPS

To determine

Find the translation of the function.

Answer to Problem 20PPS

The graph of $g\left(x\right)={1.5}^{4x}$ bent towards the $y-axis$

Explanation of Solution

Given information:

It is given in the question that, $g\left(x\right)={1.5}^{4x}$

Since $g\left(x\right)={1.5}^{4x}$ so let the parent function be $f\left(x\right)={1.5}^x$

By multiplying $"4"$ to the exponential part of $f\left(x\right)$ then $g\left(x\right)={1.5}^{4x}$ is arrived

So, by the concept of translation of graph when something quantity is multiplying in to the exponential part of function which is $">1"$ then the graph bent towards the $y-axis$ .

So, the graph of $g\left(x\right)={1.5}^{4x}$ bent towards the $y-axis$