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]