Graph the Ellipse $\frac { ( x - 2 ) ^ { 2 } } { 2 ^ { 2 } } + \frac { ( y + 5 ) ^ { 2 } } { 3 ^ { 2 } } = 1$

Multiple Choice

Graph the ellipse. Specify the lengths of the major and minor axes, the foci, the center and the eccentricity. $\frac { ( x - 2 ) ^ { 2 } } { 2 ^ { 2 } } + \frac { ( y + 5 ) ^ { 2 } } { 3 ^ { 2 } } = 1$

A) center: (- 2, 5) ;
Length of major axis: 6;
Length of minor axis: 4;
Foci: $( - 2,5 \pm \sqrt { 5 } )$ ;
Eccentricity: $\frac { \sqrt { 5 } } { 3 }$
B) center: (1, - 2.5) ;
Length of major axis: 3;
Length of minor axis: 2;
Foci: $\left( 1 \pm \frac { \sqrt { 5 } } { 2 } , - 2.5 \right)$ ;
Eccentricity: $\frac { \sqrt { 5 } } { 3 }$
C) center: (2, - 5) ;
Length of major axis: 6;
Length of minor axis: 4;
Foci: $( 2 , - 5 \pm \sqrt { 5 } )$ ;
Eccentricity: $\frac { \sqrt { 5 } } { 3 }$ $$\theta$$
D) center: (1, - 2.5) ;
Length of major axis: 3;
Length of minor axis: 2;
Foci: $\left( 2 , - 1.25 \pm \frac { \sqrt { 5 } } { 2 } \right)$ ;
Eccentricity: $\frac { \sqrt { 5 } } { 3 }$
E) center: (2, - 5) ;
Length of major axis: 6;
Length of minor axis: 4;
Foci: $( 2 \pm \sqrt { 5 } , - 5 )$ ;
Eccentricity: $\frac { \sqrt { 5 } } { 3 }$