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

x ^ { 2 } - 16 y ^ { 2 } - 8 x - 64 y - 64 = 0

A) center at

( - 2,4 )

transverse axis is parallel to

x

-axis
vertices at

( - 6,4 )

and

( 2,4 )

foci at

( - 2 - \sqrt { 17 } , 4 )

and

( - 2 + \sqrt { 17 } , 4 )

asymptotes of

y - 4 = - \frac { 1 } { 4 } ( x + 2 )

and

y - 4 = \frac { 1 } { 4 } ( x + 2 )

B) center at

( 4 , - 2 )

transverse axis is parallel to

x

-axis
vertices at

( 0 , - 2 )

and

( 8 , - 2 )

foci at

( 4 - \sqrt { 17 } , - 2 )

and

( 4 + \sqrt { 17 } , - 2 )

asymptotes of

y + 2 = - \frac { 1 } { 4 } ( x - 4 )

and

y + 2 = \frac { 1 } { 4 } ( x - 4 )

C) center at

( 4 , - 2 )

transverse axis is parallel to

x

-axis
vertices at

( 3 , - 2 )

and

( 5 , - 2 )

foci at

( 4 - \sqrt { 17 } , - 2 )

and

( 4 + \sqrt { 17 } , - 2 )

asymptotes of

y + 2 = - 4 ( x - 4 )

and

y + 2 = 4 ( x - 4 )

D) center at

( 4 , - 2 )

transverse axis is parallel to

\mathrm { y }

-axis
vertices at

( 4 , - 6 )

and

( 4,2 )

foci at

( 4 , - 2 - \sqrt { 17 } )

and

( 4 , - 2 + \sqrt { 17 } )

asymptotes of

y - 2 = - 4 ( x + 4 )

and

y - 2 = 4 ( x + 4 )

Graph the Hyperbola (x−2)2−9(y−2)2=9(x-2)^{2}-9(y-2)^{2}=9(x−2)2−9(y−2)2=9 A) B) C) D)

Multiple Choice