Hi,

Standard Form of an Equation of an Hyperbola opening right or left is   

where Pt(h,k) is a center  with vertices 'a' units right and left of center.

Asymptotes passing thru the center with slope = ± b/a 

foci being ± sqrt(a^2 + b^2)from center  along axis of symmetry y = k



 x^2/16 - y^2/25 = 1 C(0,0) Vertices: (4,0) and (-4,0)

Foci = (-6.4,0) and (6.4,0)  ± sqrt(41)= ± 6.4

Asymptotes  y = 5/4 and y = -5/4

 

 

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