Question

Identify a horizontal or vertical stretch or compression of the function ƒ(x) = x2 by observing the equation of the function g(x) = 5(x)2

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have the following parent function given in the problem above:

`f(x)=x^(2)`

2. And you have the function
`g(x)=5(x^(2) )`

3. By definition, if you have the function
`y=ax^(2)` and
`|a|>1` it is a vertical stretch.

4. Therefore, you have that:

`|a|=5\\ 5>1`

Therefore the answer is: It is a vertical stretch.