Find the Vertices and Locate the Foci for the Hyperbola $$16 x ^ { 2 } - 4 y ^ { 2 } = 64$$

question 63

Multiple Choice

Find the vertices and locate the foci for the hyperbola whose equation is given.
- $$16 x ^ { 2 } - 4 y ^ { 2 } = 64$$

• A) vertices: \(( - 2,0 ) , ( 2,0 )\)
• foci: \(( - 2 \sqrt { 5 } , 0 ) , ( 2 \sqrt { 5 } , 0 )\)
• B) vertices: \(( 0 , - 2 ) , ( 0,2 )\)
• foci: \(( 0 , - 2 \sqrt { 5 } ) , ( 0,2 \sqrt { 5 } )\)
• C) vertices: \(( - 2,0 ) , ( 2,0 )\)
• foci: \(( - 2 \sqrt { 3 } , 0 ) , ( 2 \sqrt { 3 } , 0 )\)
• D) vertices: \(( - 4,0 ) , ( 4,0 )\)
• foci: \(( - 2 \sqrt { 5 } , 0 ) , ( 2 \sqrt { 5 } , 0 )\)

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