Graph Hyperbolas Not Centered at the Origin
Find the Location $$( y - 1 ) ^ { 2 } - 4 ( x - 3 ) ^ { 2 } = 4$$

question 68

Multiple Choice

Graph Hyperbolas Not Centered at the Origin
Find the location of the center, vertices, and foci for the hyperbola described by the equation.
- $$( y - 1 ) ^ { 2 } - 4 ( x - 3 ) ^ { 2 } = 4$$

• A) Center: \(( 3,1 )\); Vertices: \(( 3 , - 1 )\) and \(( 3,3 )\); Foci: \(( 3,1 - \sqrt { 5 } )\) and \(( 3,1 + \sqrt { 5 } )\)
• B) Center: \(( - 3 , - 1 )\); Vertices: \(( - 3 , - 3 )\) and \(( - 3,1 )\); Foci: \(( - 3 , - 1 - \sqrt { 5 } )\) and \(( - 3 , - 1 + \sqrt { 5 } )\)
• C) Center: \(( 3,1 )\); Vertices: \(( - 3 , - 2 )\) and \(( 3,2 ) ;\) Foci: \(( 3 , - \sqrt { 5 } )\) and \(( 3 , \sqrt { 5 } )\)
• D) Center: \(( 3,1 )\); Vertices: \(( 4,0 )\) and \(( 4,4 )\); Foci: \(( 4,2 - \sqrt { 5 } )\) and \(( 4,2 + \sqrt { 5 } )\)

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