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$$(x-3)^{2}+(y-1)^{2}=16$$$\newline$A circle in the $x y$-plane is represented by the given equation. If the circle is shifted $3$ units to the left and $4$ units up, which of the following equations represents the shifted circle?$\newline$Choose $1$ answer:$\newline$(A) $x^{2}+(y-5)^{2}=16$$\newline$(B) $x^{2}+(y+3)^{2}=16$$\newline$(C) $(x-6)^{2}+(y-5)^{2}=16$$\newline$(D) $(x-6)^{2}+(y+3)^{2}=16$