Find the Center, Foci, and Vertices of the Ellipse $$16 ( x + 1 ) ^ { 2 } + 9 ( y - 3 ) ^ { 2 } = 144$$

question 12

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- $$16 ( x + 1 ) ^ { 2 } + 9 ( y - 3 ) ^ { 2 } = 144$$

• A) center at \(( - 1,3 )\)
• foci at \(( - 1,3 - \sqrt { 7 } ) , ( - 1,3 + \sqrt { 7 } )\)
• vertices at \(( - 1,7 ) , ( - 1 , - 1 )\)
• B) center at \(( 1,3 )\)
• foci at \(( 1,3 - \sqrt { 7 } ) , ( 1,3 + \sqrt { 7 } )\)
• vertices at \(( 1,7 ) , ( 1 , - 1 )\)
• C) center at \(( 0,3 )\)
• foci at \(( 0,3 - \sqrt { 7 } ) , ( 0,3 + \sqrt { 7 } )\)
• vertices at \(( 0,7 ) , ( 0 , - 1 )\)
• D) center at \(( 3 , - 1 )\)
• foci at \(( 3 , - 1 - \sqrt { 7 } ) , ( 3 , - 1 + \sqrt { 7 } )\)
• vertices at \(( 3,7 ) , ( 3 , - 1 )\)

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