Find the Center and Foci of the Following Ellipse $$4 x ^ { 2 } + 8 y ^ { 2 } - 16 x + 32 y + 32 = 0$$

question 87

Multiple Choice

Find the center and foci of the following ellipse.
$$4 x ^ { 2 } + 8 y ^ { 2 } - 16 x + 32 y + 32 = 0$$

• A) Center: \(( - 2,2 )\)
• Foci: \(( - 2 + \sqrt { 2 } , 2 ) , ( - 2 - \sqrt { 2 } , 2 )\)
• B) Center: \(( 2 , - 2 )\)
• Foci: \(( 2 + \sqrt { 2 } , - 2 ) , ( 2 - \sqrt { 2 } , - 2 )\)
• C) Center: \(( 2 , - 2 )\)
• Foci: \(( 2 , - 2 + \sqrt { 2 } ) , ( 2 , - 2 - \sqrt { 2 } )\)
• D) Center: \(( - 2,2 )\)
• Foci: \(( - 2,2 + \sqrt { 2 } ) , ( - 2,2 - \sqrt { 2 } )\)
• E) Center: \(( - 2,2 )\)
• Foci: \(( - 2 + \sqrt { 6 } , 2 ) , ( - 2 - \sqrt { 6 } , - 2 )\)

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