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.
- $$\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 81 } = 1$$

A) center at $( 0,0 )$
transverse axis is $\mathrm { y }$ -axis
vertices: $( 0 , - 6 ) , ( 0,6 )$
foci: $( - 3 \sqrt { 13 } , 0 ) , ( 3 \sqrt { 13 } , 0 )$
asymptotes of $y = - \frac { 2 } { 3 } x$ and $y = \frac { 2 } { 3 } x$
B) center at $( 0,0 )$
transverse axis is $\mathrm { y }$ -axis
vertices: $( 0 , - 6 ) , ( 0,6 )$
foci: $( 0 , - 3 \sqrt { 13 } ) , ( 0,3 \sqrt { 13 } )$
asymptotes of $y = - \frac { 2 } { 3 } x$ and $y = \frac { 2 } { 3 } x$
C) center at $( 0,0 )$
transverse axis is $\mathrm { x }$ -axis
vertices: $( - 9,0 ) , ( 9,0 )$
foci: $( - 3 \sqrt { 13 } , 0 ) , ( 3 \sqrt { 13 } , 0 )$
asymptotes of $y = - \frac { 2 } { 3 } x$ and $y = \frac { 2 } { 3 } x$
D) center at $( 0,0 )$
transverse axis is $\mathrm { y }$ -axis
vertices: $( - 6,0 ) , ( 6,0 )$
foci: $( - 9,0 ) , ( 9,0 )$
asymptotes of $y = - \frac { 2 } { 3 } x$ and $y = \frac { 2 } { 3 } x$