Chapter 7.6, Problem 7CYU

To determine

Find the translation of the given function $f\left(x\right)={1.015}^t$ with respect to the given function graph.

Answer to Problem 7CYU

The graph of $g\left(x\right)=2200\left({1.015}^t\right)$ shows vertical stretch by $factor-2200.$

Explanation of Solution

Given information:

It is given in the question that, $g\left(x\right)=2200\left({1.015}^t\right)$

By multiplying $f\left(x\right)$ to $"2200"$ then $g\left(x\right)=2200\left({1.015}^t\right)$ is arrived

So, by the concept of translation of graph when some quantity which is multiply to the function greater then $"1"$ is then the graph shows vertical stretch.

So, the graph of $g\left(x\right)=2200\left({1.015}^t\right)$ shows vertical stretch by $factor-2200.$