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

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.
- $$( x + 4 ) ^ { 2 } - 4 ( y - 4 ) ^ { 2 } = 4$$

A) Center: $( - 4,4 )$ ; Vertices: $( - 6,4 )$ and $( - 2,4 )$ ; Foci: $( - 4 - \sqrt { 5 } , 4 )$ and $( - 4 + \sqrt { 5 } , 4 )$
B) Center: $( 4 , - 4 )$ ; Vertices: $( 2 , - 4 )$ and $( 6 , - 4 )$ ; Foci: $( 4 - \sqrt { 5 } , 4 )$ and $( 4 + \sqrt { 5 } , 4 )$
C) Center: $( - 4,4 )$ ; Vertices: $( - 5,5 )$ and $( - 1,5 )$ ; Foci: $( - 3 - \sqrt { 5 } , 5 )$ and $( - 3 + \sqrt { 5 } , 5 )$
D) Center: $( - 4,4 )$ ; Vertices: $( 2,4 )$ and $( - 2,4 )$ ; Foci: $( - \sqrt { 5 } , 4 )$ and $( \sqrt { 5 } , 4 )$