Find the Center, Transverse Axis, Vertices, Foci, and Asymptotes of the Hyperbola

Multiple Choice

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.
- $$\frac { ( y - 1 ) ^ { 2 } } { 4 } - \frac { ( x - 3 ) ^ { 2 } } { 49 } = 1$$

A) center: $( 3,1 )$
transverse axis is parallel to $\mathrm { y }$ -axis
vertices: $( 3,1 - \sqrt { 53 } )$ and $( 3,1 + \sqrt { 53 } )$ ;
foci: $( 3 , - 1 )$ and $( 3,3 )$
asymptotes of $y - 1 = - \frac { 7 } { 2 } ( x - 3 )$ and $y - 1 = \frac { 7 } { 2 } ( x - 3 )$
B) center: $( 3,1 )$
transverse axis is parallel to $\mathrm { y }$ -axis
vertices: $( 1,0 )$ and $( 4,4 )$
foci: $( 1,2 - \sqrt { 53 } )$ and $( 4,2 + \sqrt { 53 } )$
asymptotes of $y - 1 = - \frac { 7 } { 2 } ( x - 3 )$ and $y - 1 = \frac { 7 } { 2 } ( x - 3 )$
C) center: $( 3,1 )$
transverse axis is parallel to $y$ -axis
vertices: $( 3 , - 1 )$ and $( 3,3 )$
foci: $( 3,1 - \sqrt { 53 } )$ and $( 3,1 + \sqrt { 53 } )$
asymptotes of $\mathrm { y } - 1 = - \frac { 2 } { 7 } ( x - 3 )$ and $y - 1 = \frac { 2 } { 7 } ( x - 3 )$
D) center: $( - 3 , - 1 )$
transverse axis is parallel to $x$ -axis
vertices: $( - 3 , - 3 )$ and $( - 3,1 )$
foci: $( - 3 , - 1 - \sqrt { 53 } )$ and $( - 3 , - 1 + \sqrt { 53 } )$
asymptotes of $y - 1 = - \frac { 2 } { 7 } ( x - 3 )$ and $y - 1 = \frac { 2 } { 7 } ( x - 3 )$