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

question 155

Multiple Choice

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

• A) center at \(( - 1,1 )\)
• foci at \(( - 1,1 - \sqrt { 7 } ) , ( - 1,1 + \sqrt { 7 } )\)
• vertices at \(( - 1,5 ) , ( - 1 , - 3 )\)
• B) center at \(( 1 , - 2 )\)
• foci at \(( 1 , - 2 - \sqrt { 7 } ) , ( 1 , - 2 + \sqrt { 7 } )\)
• vertices at \(( 1,5 ) , ( 1 , - 3 )\)
• C) center at \(( 2,1 )\)
• foci at \(( 2,1 - \sqrt { 7 } ) , ( 2,1 + \sqrt { 7 } )\)
• vertices at \(( 2,5 ) , ( 2 , - 3 )\)
• D) center at \(( - 2,1 )\)
• foci at \(( - 2,1 - \sqrt { 7 } ) , ( - 2,1 + \sqrt { 7 } )\)
• vertices at \(( - 2,5 ) , ( - 2 , - 3 )\)

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