Question 864510
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Hi
-3x^2 + 12y^2 = 84
{{{y^2/7 - x^2/28 = 1}}} Hyperbola opening Up and down C(0,0) along x =0
vertices (0, &#8730;7) and (0, -&#8730;7)
domain All real numbers. Range:  -&#8730;7 &#8805;  y &#8804; &#8730;7 
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,  2b the length of the transverse axis
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