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

Respuesta :

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

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

[tex] f(x)=x^{2} [/tex]

2. And you have the function [tex] g(x)=5(x^{2} ) [/tex]

3. By definition, if you have the function [tex] y=ax^{2} [/tex] and [tex] |a|>1 [/tex] it is a vertical stretch.

4. Therefore, you have that:

[tex] |a|=5\\ 5>1 [/tex]

Therefore the answer is: It is a vertical stretch.