Hi,

vertices at (3,0) and (-3,0) and foci (5,0) and (-5,0).   Note: repeat of y = 0

Hyperbola opening right and left along y = 0

 

vertices at (3,0) and (-3,0) h = = 0  ⇒ foci are 3 units right and left of center (0,0),  a = 3



foci (5,0) and (-5,0).    5 units right and left of center (0,0)  = 5, b^2 = 16, b = 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

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

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

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