If $f(x) =x^2 +3$ and $g(x)$ is a transformation of $f(x)$ when its graph is moved 2 units up and 5 units to the left, then what is $g(x)$ ?

Question

$\begin{array}{1 1} (a)\; (x-5)^2 +2 \\ (b)\; (x+5)^2-2 \\ (c)\; (x-5)^2-2 \\ (d)\; (x+5)^2 -2 \end{array}$