Graph Hyperbolas Not Centered at the Origin
Find the Location $$\frac { ( y - 1 ) ^ { 2 } } { 9 } - \frac { ( x - 2 ) ^ { 2 } } { 100 } = 1$$

question 57

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.
- $$\frac { ( y - 1 ) ^ { 2 } } { 9 } - \frac { ( x - 2 ) ^ { 2 } } { 100 } = 1$$

• A) Center: \(( 2,1 )\); Vertices: \(( 2 , - 2 )\) and \(( 2,4 )\); Foci: \(( 2,1 - \sqrt { 109 } )\) and \(( 2,1 + \sqrt { 109 } )\)
• B) Center: \(( - 2 , - 1 )\); Vertices: \(( - 2 , - 4 )\) and \(( - 2,2 )\); Foci: \(( - 2 , - 1 - \sqrt { 109 } )\) and \(( - 2 , - 1 + \sqrt { 109 } )\)
• C) Center: \(( 2,1 )\); Vertices: \(( 2,1 - \sqrt { 109 } )\) and \(( 2,1 + \sqrt { 109 } )\); Foci: \(( 2 , - 2 )\) and \(( 2,4 )\)
• D) Center: \(( 2,1 )\); Vertices: \(( 2 , - 1 )\) and \(( 3,5 )\); Foci: \(( 2,2 - \sqrt { 109 } )\) and \(( 3,2 + \sqrt { 109 } )\)

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