Question

Identify the transformation that occurs to create the graph of k(x).
k(x)=9f(x)

Answer 1

To create the graph of k(x) , the graph of f(x) undergoes a vertical stretching by a factor of 9.

Explanation:

We are given that

`k(x)=9f(x)`

We have to Identify the transformation that occurs to create the graph of k(x).

To create the graph of k(x) we will multiply the function f(x) value by 9.

Let f(x) be any function

`g(x)=a f(x)`

Where a>1

It means to obtain the graph of g(x) the graph f(x) has undergone a vertical stretching by a factor of a.

We have k=9>1

Therefore, to create the graph of k(x) , the graph of f(x) undergoes a vertical stretching by a factor of 9.