Question 445932
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi, Note: 
Standard Form of an Equation of an Hyperbola opening right and left is  
            {{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}} 
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
{{{(x-9)^2/64 -(y-6)^2/64=1}}}  C(9,6) with vertices V(1,6) and V(17,6)
{{{drawing(300,300,-25,25,-25,25, grid(1),
circle(9, 6,0.3),
circle(1, 6,0.3),
circle(17,6,0.3),
graph(300,300,-25,25,-25,25,0,8sqrt(((x-9)^2/64) -1)+6,-8sqrt(((x-9)^2/64) -1)+6))}}}