Answer :
we have
[tex]f(x)=x^{2}[/tex]
This a vertical parabola open upward with a vertex at point [tex](0,0)[/tex]
and
[tex]g(x)=(x+3)^{2}+4[/tex]
This a vertical parabola open upward with a vertex at point [tex](-3,4)[/tex]
The rule of the transformation is
[tex]f(x)---------> g(x)[/tex]
[tex](x,y)-----> (x-3,y+4)[/tex]
that means
Is a translation of [tex]3[/tex] units to the left and [tex]4[/tex] units up
therefore
the answer is
A translation of [tex]3[/tex] units to the left and [tex]4[/tex] units up