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

question 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: \(\frac { \sqrt { 5 } } { 3 }\)

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