Find the Center, Foci, and Vertices of the Ellipse $$4 x ^ { 2 } + 64 y ^ { 2 } = 256$$

question 15

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- $$4 x ^ { 2 } + 64 y ^ { 2 } = 256$$

• A) center at \(( 0,0 )\)
• foci at \(( 0 , - 2 )\) and \(( 0,2 )\)
• vertices at \(( 0 , - 4 ) , ( 0,4 )\)
• B) center at \(( 0,0 )\)
• foci at \(( 0 , - 2 \sqrt { 15 } )\) and \(( 0,2 \sqrt { 15 } )\)
• vertices at \(( 0 , - 8 ) , ( 0,8 )\)
• C) center at \(( 0,0 )\)
• foci at \(( - 2 \sqrt { 15 } , 0 )\) and \(( 2 \sqrt { 15 } , 0 )\)
• vertices at \(( - 8,0 ) , ( 8,0 )\)
• D) center at \(( 0,0 )\)
• foci at \(( - 8,0 )\) and \(( 8,0 )\)
• vertices at \(( - 64,0 ) , ( 64,0 )\)