Hi,

  C(-1,-4) watch your x's and y's 

vertices 3 units right and left of Center: (-4,-4) and (2,-4)

foci sqrt(9+7) = 4.  Foci 4 units right and left of Center: (-5,-4)and (3, -4)

Standard Form of an Equation of an Hyperbola opening right and  left is:

   with C(h,k) and vertices 'a' units right and left of center,   2a the length of the transverse axis

Foci are  units right and left of center along y = k

 

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