Complete the Square to Determine the Type of Curve Represented $x ^ { 2 } + 4 x - 8 y + 36 = 0$

Complete the square to determine the type of curve represented by the equation. $x ^ { 2 } + 4 x - 8 y + 36 = 0$

A) $( x + 2 ) ^ { 2 } = 8 ( y - 5 )$
, parabola
B) $\frac { ( x + 2 ) ^ { 2 } } { 8 } + \frac { ( y - 5 ) ^ { 2 } } { 4 } = 1$
, ellipse
C) $\frac { ( x + 2 ) ^ { 2 } } { 8 } - \frac { ( y - 5 ) ^ { 2 } } { 4 } = 1$
, hyperbola
D) $( x + 2 ) ^ { 2 } = 4 ( y - 5 )$
, parabola
E) none of these