Find the Center, Foci, and Vertices of the Ellipse $$16 ( x + 1 ) ^ { 2 } + 9 ( y - 3 ) ^ { 2 } = 144$$

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- $$16 ( x + 1 ) ^ { 2 } + 9 ( y - 3 ) ^ { 2 } = 144$$

A) center at $( - 1,3 )$
foci at $( - 1,3 - \sqrt { 7 } ) , ( - 1,3 + \sqrt { 7 } )$
vertices at $( - 1,7 ) , ( - 1 , - 1 )$
B) center at $( 1,3 )$
foci at $( 1,3 - \sqrt { 7 } ) , ( 1,3 + \sqrt { 7 } )$
vertices at $( 1,7 ) , ( 1 , - 1 )$
C) center at $( 0,3 )$
foci at $( 0,3 - \sqrt { 7 } ) , ( 0,3 + \sqrt { 7 } )$
vertices at $( 0,7 ) , ( 0 , - 1 )$
D) center at $( 3 , - 1 )$
foci at $( 3 , - 1 - \sqrt { 7 } ) , ( 3 , - 1 + \sqrt { 7 } )$
vertices at $( 3,7 ) , ( 3 , - 1 )$