Hi,

 C(4,6) opening Up and down along x = 4

Vertices: V(4,8) and V(4,4)  units up and down from center

foci: F(4,9) and F(4,3)  | | = 3 units up and down from center

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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