Hi

-3x^2 + 12y^2 = 84

 Hyperbola opening Up and down C(0,0) along x =0

vertices (0, √7) and (0, -√7)

domain All real numbers. Range:  -√7 ≥  y ≤ √7 

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

   with C(h,k) and vertices 'b' units up and down from center,  2b the length of the transverse axis

Foci units units up and down from center, along x = h

& Asymptotes Lines passing thru C(h,k), with slopes m =  ± b/a

 

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