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

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 $( 4,2 + \sqrt { 5 } )$