Question 391959
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Hi
Standard Form of an Equation of an Hyperbola opening up and down is:
  {{{(y-k)^2/b^2 - (x-h)^2/a^2 = 1}}} where Pt(h,k) is a center  with vertices 'b' units up and down from center.
(y+3)^2/49 - (x-9)/64 = 1 Hyperbola opens up and down with center of Pt(9,-3)
Vertices are along x = 9 at Pt(9,4) and Pt(9,-10) (7units up and down from center)
{{{drawing(300,300, -20,20,-20,20,blue(line(9,20,9,-20))   
 grid(1),
red(circle(9, -3,0.8)),
blue(circle(9, 4,0.8)),
blue(circle(9, -10,0.8)),

graph( 300, 300, -20,20,-20,20,7sqrt(1+ (1/64)(x-9)^2)-3,-7sqrt(1+ (1/64)(x-9)^2)-3))}}}