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]
