Hi, Note: 

Standard Form of an Equation of an Hyperbola opening right and left is  

             

where Pt(h,k) is a center  with vertices 'a' units right and left of center.

 x^2-18x-y^2+12y=19

(x-9)^2 -81 -[(y-6)^2-36] = 19

(x-9)^2 -81 -(y-6)^2+36 = 19

(x-9)^2 -(y-6)^2 = 64

  C(9,6) with vertices V(1,6) and V(17,6)



 

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