Write the Equation of the Ellipse in Standard Form $$x ^ { 2 } + 81 y ^ { 2 } - 14 x - 32 = 0$$

Multiple Choice

Write the equation of the ellipse in standard form. Identify the vertices and foci.
- $$x ^ { 2 } + 81 y ^ { 2 } - 14 x - 32 = 0$$

A) $\frac { ( x + 7 ) ^ { 2 } } { 81 } + y ^ { 2 } = 1$
vertices: $( - 16,0 ) , ( 2,0 )$
foci $( - 7 - 4 \sqrt { 5 } , 0 ) , ( - 7 + 4 \sqrt { 5 } , 0 )$
B) $x ^ { 2 } + \frac { ( y + 7 ) ^ { 2 } } { 81 } = 1$
vertices: $( 0 , - 16 ) , ( 0,2 )$
foci $( 0 , - 7 - 4 \sqrt { 5 } ) , ( 0 , - 7 + 4 \sqrt { 5 } )$
C) $\frac { ( x - 7 ) ^ { 2 } } { 81 } + y ^ { 2 } = 1$
vertices: $( - 2,0 ) , ( 16,0 )$
foci $( 7 - 4 \sqrt { 5 } , 0 ) , ( 7 + 4 \sqrt { 5 } , 0 )$
D) $x ^ { 2 } + \frac { ( y - 7 ) ^ { 2 } } { 81 } = 1$
vertices: $( 0 , - 16 ) , ( 0,2 )$
foci $( 0,7 - 4 \sqrt { 5 } ) , ( 0,7 + 4 \sqrt { 5 } )$