The parabola LaTeX: f\left(x\right)=x^2f ( x ) = x 2 was translated up by 4 units. What is the function rule for the new transformed parabola LaTeX: g\left(x\right)g ( x )?

Group of answer choices

LaTeX: g\left(x\right)=4x^2 g ( x ) = 4 x 2

LaTeX: g\left(x\right)=\left(x+4\right)^2 g ( x ) = ( x + 4 ) 2

LaTeX: g\left(x\right)=x^2+4 g ( x ) = x 2 + 4

LaTeX: g\left(x\right)=\left(x-4\right)^2 g ( x ) = ( x − 4 ) 2