Question

What is the effect on the graph of the function f(x) =

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

Answer 1

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`