Hi, Assuming the vertices are (0,-6)and (0,6)

Note: Standard Form of an Equation of an Hyperbola opening up and down is:

   

where Pt(h,k) is a center  with vertices 'b' units up and down from center.

Hyperbola with foci (0,-8) and(0,8) vertices(0,-6)and (0,6)

  C(0,0) with vertices V(0,-6) and V(0,6)

foci (0,-8) and(0,8)  c = sqrt(36 + a^2)= 8   a^2 = 28





 

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