Question 864753
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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}}} 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
{{{(y+2)^2/2^2 -x^2/12=1 }}}  C(0,-2)
Vertices (0,0) and (0,-4)
Foci: sqrt(16) = 4 units Up and down from Center  (0, 2) and (0,-6)