Question 879144
foci: (3,2), (3,-2) C(3,0)   {{{(2-2)/2 = 0}}}
Opens Up and down along x = 3
Standard Form of an Equation of an Hyperbola opening up and down is:
  {{{(y-k)^2/b^2 - (x-h)^2/a^2 = 1}}} with C(h,k) and vertices 'b' units up and down from center,
Foci {{{sqrt(a^2+b^2)}}}units units up and down from center, along x = h
& Asymptotes Lines passing thru C(h,k), with slopes m =  ± b/a
{{{(y)^2/b^2 - (x-3)^2/a^2 = 1}}}
asymptote at y=2(x-3), m = ± b/a = 2, b = 2a
foci:{{{sqrt(a^2+b^2)= sqrt(a^2 + 4a^2)= 5a^2 }}} = 2 , a^2 = 5/2 
and b^2 = 4a^2 = 10
{{{(y)^2/10 - (x-3)^2/2.5 = 1}}}