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

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 $( 3,2 + \sqrt { 109 } )$