Graph Hyperbolas Not Centered at the Origin
- $$( x + 2 ) ^ { 2 } - 64 ( y - 3 ) ^ { 2 } = 64$$

question 187

Multiple Choice

Graph Hyperbolas Not Centered at the Origin
- $$( x + 2 ) ^ { 2 } - 64 ( y - 3 ) ^ { 2 } = 64$$

• A) Center: \(( - 2,3 )\); Vertices: \(( - 10,3 )\) and \(( 6,3 )\); Foci: \(( - 2 - \sqrt { 65 } , 3 )\) and \(( - 2 + \sqrt { 65 } , 3 )\)
• B) Center: \(( 2 , - 3 )\); Vertices: \(( - 6 , - 3 )\) and \(( 10 , - 3 )\); Foci: \(( 2 - \sqrt { 65 } , 3 )\) and \(( 2 + \sqrt { 65 } , 3 )\)
• C) Center: \(( - 2,3 )\); Vertices: \(( - 9,4 )\) and \(( 7,4 )\); Foci: \(( - 1 - \sqrt { 65 } , 4 )\) and \(( - 1 + \sqrt { 65 } , 4 )\)
• D) Center: \(( - 2,3 )\); Vertices: \(( 8,3 )\) and \(( - 8,3 )\); Foci: \(( - \sqrt { 65 } , 3 )\) and \(( \sqrt { 65 } , 3 )\)

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