Find the Center, Foci, and Vertices of the Ellipse $$\frac { ( x - 3 ) ^ { 2 } } { 36 } + \frac { ( y + 3 ) ^ { 2 } } { 9 } = 1$$

question 2

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- $$\frac { ( x - 3 ) ^ { 2 } } { 36 } + \frac { ( y + 3 ) ^ { 2 } } { 9 } = 1$$

• A) center at \(( 3 , - 3 )\)
• foci at \(( 3 + 3 \sqrt { 3 } , - 3 ) , ( 3 - 3 \sqrt { 3 } , - 3 )\)
• vertices at \(( - 3 , - 3 ) , ( 9 , - 3 )\)
• B) center at \(( 3 , - 3 )\)
• foci at \(( - 3 \sqrt { 3 } , - 3 ) , ( 3 \sqrt { 3 } , - 3 )\)
• vertices at \(( 6 , - 3 ) , ( - 6 , - 3 )\)
• C) center at \(( - 3,3 )\)
• foci at \(( - 3 + 3 \sqrt { 3 } , 3 ) , ( - 3 - 3 \sqrt { 3 } , 3 )\)
• vertices at \(( - 3 , - 3 ) , ( 9 , - 3 )\)
• D) center at \(( 3 , - 3 )\)
• foci at \(( 3 + 3 \sqrt { 3 } , 3 ) , ( 3 - 3 \sqrt { 3 } , 3 )\)
• vertices at \(( 6 , - 3 ) , ( - 6 , - 3 )\)

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