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.