Find the Vertices and Foci of the Conic Section Without $x y = 36$

Find the vertices and foci of the conic section without axis rotation by analyzing the graph geometrically in the xy-plane.
-The hyperbola $x y = 36$

A) $\mathrm { V } : ( 6,6 ) , ( - 6 , - 6 )$
$F : ( 6 \sqrt { 2 } , \sqrt { 2 } ) , ( - 6 \sqrt { 2 } , - \sqrt { 2 } )$

B) $\mathrm { V } : ( 6 \sqrt { 2 } , 6 \sqrt { 2 } ) , ( - 6 \sqrt { 2 } , - 6 \sqrt { 2 } )$
F: $( 6,6 ) , ( - 6 , - 6 )$

C) V: $( 6,6 ) , ( - 6 , - 6 )$
$F : ( 6 \sqrt { 2 } , 6 \sqrt { 2 } ) , ( - 6 \sqrt { 2 } , - 6 \sqrt { 2 } )$

D) V: $( - 6,6 ) , ( 6 , - 6 )$
F: $( - 6 \sqrt { 2 } , 6 \sqrt { 2 } ) , ( 6 \sqrt { 2 } , - 6 \sqrt { 2 } )$