92.7k views
0 votes
What is the effect on the graph of the function f(x) =

5x
when f(x) is replaced with 9f(x)?

1 Answer

3 votes

Step-by-step explanation:

It occurs a Nonrigid Transformation. This type of transformations causes a distortion or a change in the shape of the original graph. In this case occurs a vertical stretch because the factor is greater than 1, that is:


9>1

The general form of this transformation is:


g(x)=cf(x) \\ \\ \\ If \ c>1 \rightarrow \text{vertical stretch} \\ \\ If \ 0<c<1 \rightarrow \text{vertical shrink}

So in this case:


g(x)=9f(x)=9(5x)=45x

User Mufeed
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories