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:
[tex]9>1[/tex]
The general form of this transformation is:
[tex]g(x)=cf(x) \\ \\ \\ If \ c>1 \rightarrow \text{vertical stretch} \\ \\ If \ 0<c<1 \rightarrow \text{vertical shrink}[/tex]
So in this case:
[tex]g(x)=9f(x)=9(5x)=45x[/tex]
