Find the Center and Vertices of the Ellipse $x ^ { 2 } + 9 y ^ { 2 } + 16 x + 18 y + 64 = 0$

Multiple Choice

Find the center and vertices of the ellipse. $x ^ { 2 } + 9 y ^ { 2 } + 16 x + 18 y + 64 = 0$

A) center: $( - 1 , - 8 )$ vertices: $( - 4 , - 8 ) , ( 9 , - 8 )$
B) center: $( 8,1 )$ vertices: $( 7,1 ) , ( 9,1 )$
C) center: $( - 8 , - 1 )$ vertices: $( - 9 , - 1 ) , ( - 7 , - 1 )$
D) center: $( - 8 , - 1 )$ vertices: $( - 11 , - 1 ) , ( - 5 , - 1 )$
E) center: $( 8,1 )$ vertices: $( 5,1 ) , ( - 11,1 )$