Respuesta :

g(X)=
16x^2+4
Parent function is y=x^2

Answer:

[tex]g(x)= 48x^2+16[/tex]

Step-by-step explanation:

given f(x)= [tex]12x^2 +4[/tex]

The function g(x) is a vertical expansion of f(x) by a factor of 4.

when f(x) is vertically expansion  by 'a' f(x)  becomes a f(x)

For vertical expansion by a factor of 4  we multiply f(x) by 4

So [tex]g(x)= 4(f(x))[/tex]

[tex]g(x)= 4(12x^2+4)[/tex]

[tex]g(x)= 48x^2+16[/tex]