Question

What change do you have to make to the graph?

Answer 1

Step-by-step explanation:

Given;

We are given the function below;

`f(x)=3^x`

Required;

We are required to describe what change would be made to graph the function;

`g(x)=3^(x-7)`

For a function given such as the one here, when the graph is shifted to the right, then the original function is affected as follows;

`\begin{gathered} f(x)=x \\ \\ Shift\text{ }to\text{ }the\text{ }right: \\ f(x)+(x)=x \\ \\ Subtract\text{ }(x)\text{ }from\text{ }both\text{ }sides: \\ f(x)+(x)-(x)=x-(x) \\ \\ f(x)=x-(x) \end{gathered}`

For a shift to the left, we would have a plus sign, that is, add x number of units the graph is being shifted.

Therefore, for a function that has changed such as the one given,

`g(x)=3^(x-7)`

What we have is shift the original graph 7 units to the right.

ANSWER:

`Shift\text{ }the\text{ }graph\text{ }7\text{ }units\text{ }right`

The first option is the correct answer.