Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.
-

( x - 3 ) ^ { 2 } - 9 ( y + 3 ) ^ { 2 } = 9

A) center at

( 3 , - 3 )

transverse axis is parallel to

\mathrm { y }

-axis
vertices at

( 3 , - 6 )

and

( 3,0 )

,
foci at

( 3 , - 3 - \sqrt { 10 } )

and

( 3 , - 3 + \sqrt { 10 } )

,
asymptotes of

y - 3 = - 3 ( x + 3 )

and

y - 3 = 3 ( x + 3 )

B) center at

( 3 , - 3 )

transverse axis is parallel to

x

-axis
vertices at

( 0 , - 3 )

and

( 6 , - 3 )

foci at

( 3 - \sqrt { 10 } , - 3 )

and

( 3 + \sqrt { 10 } , - 3 )

asymptotes of

y + 3 = - \frac { 1 } { 3 } ( x - 3 )

and

y + 3 = \frac { 1 } { 3 } ( x - 3 )

C) center at

( - 3,3 )

transverse axis is parallel to

x

-axis
vertices at

( - 6,3 )

and

( 0,3 )

foci at

( - 3 - \sqrt { 10 } , 3 )

and

( - 3 + \sqrt { 10 } , 3 )

asymptotes of

y - 3 = - \frac { 1 } { 3 } ( x + 3 )

and

y - 3 = \frac { 1 } { 3 } ( x + 3 )

D) center at

( 3 , - 3 )

transverse axis is parallel to

x

-axis
vertices at

( 2 , - 3 )

and

( 4 , - 3 )

foci at

( 3 - \sqrt { 10 } , - 3 )

and

( 3 + \sqrt { 10 } , - 3 )

asymptotes of

y + 3 = - 3 ( x - 3 )

and

y + 3 = 3 ( x - 3 )

Find the Vertex, Focus, and Directrix of the Parabola with the Given

Multiple Choice