Determine a Quadratic Function That Results When Applying the Given $f(x)=x^{2}$

Multiple Choice

Determine a quadratic function that results when applying the given shifts to the graph of $f(x) =x^{2}$ .
-Rotate about the $x$ - axis, shift 2 units to the left and 4 units down.

A) $f(x) =-(x-4) ^{2}+2$
B) $f(x) =(-x+2) ^{2}-4$
C) $f(x) =-(x-2) ^{2}-4$
D) $f(x) =-(x+2) ^{2}-4$