The curve with equation
$$x = y ^ { 2 } - 6 y + 11$$
is rotated $90 ^ { \circ }$ clockwise about the point $P$ to give the curve $C$. $P$ has $x$-coordinate - 2 and $y$-coordinate 3 . What is the equation of $C$ ?
A $y = - x ^ { 2 } - 4 x - 3$ B $y = - x ^ { 2 } - 4 x - 5$ C $y = - x ^ { 2 } - 6 x - 7$ D $y = - x ^ { 2 } - 6 x - 11$ E $y = x ^ { 2 } - 4 x + 5$ F $y = x ^ { 2 } + 4 x + 3$ G $y = x ^ { 2 } - 6 x + 11$ H $y = x ^ { 2 } + 6 x + 7$
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The curve with equation

$$x = y ^ { 2 } - 6 y + 11$$

is rotated $90 ^ { \circ }$ clockwise about the point $P$ to give the curve $C$.
$P$ has $x$-coordinate - 2 and $y$-coordinate 3 .
What is the equation of $C$ ?

A $y = - x ^ { 2 } - 4 x - 3$
B $y = - x ^ { 2 } - 4 x - 5$
C $y = - x ^ { 2 } - 6 x - 7$
D $y = - x ^ { 2 } - 6 x - 11$
E $y = x ^ { 2 } - 4 x + 5$
F $y = x ^ { 2 } + 4 x + 3$
G $y = x ^ { 2 } - 6 x + 11$
H $y = x ^ { 2 } + 6 x + 7$