Let $g(x)=\sqrt{16-x^{2}}$ Which of the Following Functions Will Translate the Graph

Multiple Choice

Let $g(x) =\sqrt{16-x^{2}}$ . Which of the following functions will translate the graph of $g 3$ units to the left and 6 units down?

A) $h(x) =\sqrt{16-(x-3) ^{2}}-6$
B) $h(x) =\sqrt{16-(x-3) ^{2}}+6$
C) $h(x) =\sqrt{16-(x+3) ^{2}}-6$
D) $h(x) =\sqrt{16-(x+3) ^{2}}+6$