Identify the Center and Vertices of the Hyperbola $( y - 1 ) ^ { 2 } - ( x + 6 ) ^ { 2 } = 9$

Multiple Choice

Identify the center and vertices of the hyperbola. $( y - 1 ) ^ { 2 } - ( x + 6 ) ^ { 2 } = 9$

A) center: $( - 6,1 )$ vertices: $( - 6 , - 2 ) , ( - 6,4 )$
B) center: $( 6 , - 1 )$ vertices: $( - 6,3 ) , ( - 6 , - 3 )$
C) center: $( 6 , - 1 )$ vertices: $( 3 , - 1 ) , ( 9 , - 1 )$
D) center: $( - 6,1 )$ vertices: $( - 9,1 ) , ( - 3,1 )$
E) center: $( - 6,1 )$ vertices: $( - 6,3 ) , ( - 6 , - 3 )$