Find the Center, Foci, Vertices, and Eccentricity of the Ellipse $$\frac { ( x - 3 ) ^ { 2 } } { 25 } + \frac { ( y + 2 ) ^ { 2 } } { 9 } = 1$$

question 87

Multiple Choice

Find the center, foci, vertices, and eccentricity of the ellipse. $$\frac { ( x - 3 ) ^ { 2 } } { 25 } + \frac { ( y + 2 ) ^ { 2 } } { 9 } = 1$$

• A) center \(( 3 , - 2 )\); vertices: \(( - 2 , - 2 ) , ( 8 , - 2 ) ;\) foci \(( 3 , - 6 ) , ( 7,2 )\); eccentricity: \(e = \frac { 5 } { 4 }\)
• B) center: \(( 3 , - 2 )\); vertices: \(( - 2 , - 2 ) , ( 8 , - 2 )\); foci: \(( - 1 , - 2 ) , ( 7 , - 2 )\); eccentricity: \(e = \frac { 2 } { 5 }\)
• C) center \(( 3 , - 2 )\); vertices: \(( 3 , - 7 ) , ( 3,3 )\); foci: \(( 3 , - 6 ) , ( 37,2 )\); eccentricity:e \(= \frac { 4 } { 5 }\)
• D) center: \(( 3 , - 2 )\); vertices: \(( - 2 , - 2 ) , ( 8 , - 2 )\); foci: \(( - 1 , - 2 ) , ( 7 , - 2 )\); eccentricity: \(e = \frac { 5 } { 2 }\)
• E) center: \(( 3 , - 2 )\); vertices: \(( - 2 , - 2 ) , ( 8 , - 2 )\); foci: \(( - 1 , - 2 ) , ( 7 , - 2 )\); eccentricity: \(e = \frac { 4 } { 5 }\)

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