Respuesta :

thisisgospel2002
Al you have to do is add 4 to the equation
This gives you g(x)=4x^2+9 which is your answer

SociometricStar

Answer:

[tex]g(x)=4x^2+9[/tex]

Step-by-step explanation:

We will use the fact that if a function f(x) is translated 'a' units up then the equation of the translated function be f(x)+a

The given function is [tex]f(x)=4x^2+5[/tex]

Given that, the function g(x) is f(x) translated up 4 units.

Hence, we have

[tex]g(x)=f(x)+4\\\\g(x)=4x^2+5+4\\\\g(x)=4x^2+9[/tex]

The equation of g(x) is [tex]g(x)=4x^2+9[/tex]