Find the Vertices and Foci of the Conic Section Without $x y = - 9$

Multiple Choice

Find the vertices and foci of the conic section without axis rotation by analyzing the graph geometrically in the xy-plane.
-The hyperbola $x y = - 9$

A) V: $( 3,3 ) , ( - 3 , - 3 )$
$F : ( 3 \sqrt { 2 } , 3 \sqrt { 2 } ) , ( - 3 \sqrt { 2 } , - 3 \sqrt { 2 } )$

B) V: $( 3 \sqrt { 2 } , - 3 \sqrt { 2 } ) , ( - 3 \sqrt { 2 } , 3 \sqrt { 2 } )$
F: $( 3 , - 3 ) , ( - 3,3 )$

C) V: $( 3,3 ) , ( - 3 , - 3 )$
F: $( 3 \sqrt { 2 } , - 3 \sqrt { 2 } ) , ( - 3 \sqrt { 2 } , 3 \sqrt { 2 } )$

D) V: $( 3 , - 3 ) , ( - 3,3 )$
F: $( 3 \sqrt { 2 } , - 3 \sqrt { 2 } ) , ( - 3 \sqrt { 2 } , 3 \sqrt { 2 } )$