Identify the Conic by Writing the Equation in Standard Form $8 x ^ { 2 } + 8 y ^ { 2 } + 32 x + 144 y + 520 = 0$

Multiple Choice

Identify the conic by writing the equation in standard form. $8 x ^ { 2 } + 8 y ^ { 2 } + 32 x + 144 y + 520 = 0$

A) $\frac { ( x + 2 ) ^ { 2 } } { \frac { 69 } { 8 } } + \frac { ( y + 9 ) ^ { 2 } } { \frac { 69 } { 8 } } = 1$ ; ellipse
B) $\frac { ( x + 2 ) ^ { 2 } } { \frac { 11 } { 8 } } + \frac { ( y + 9 ) ^ { 2 } } { \frac { 11 } { 8 } } = 1$ ; ellipse
C) $( 8 x + 2 ) ^ { 2 } + ( 8 y + 9 ) ^ { 2 } = 320$ ; circle
D) $( x + 2 ) ^ { 2 } + ( y + 9 ) ^ { 2 } = 40$ ; circle
E) $( x + 2 ) ^ { 2 } + ( y + 9 ) ^ { 2 } = 20$ ; circle