Ans: C
The radius of $C$
The radius of $C$
$\begin{array}{cl}
= & 0-(-4) \\
= & 4
\end{array}$
Hence, the equation of $C$ is
$\begin{array}{rcl}
[x-(-4)]^2 + (y-3)^2 & = & 4^2 \\
x^2 +8x + 16 + y^2 -6y + 9 & = & 16 \\
x^2 + y^2 +8x -6y +9 & = & 0
\end{array}$