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