Hi,

Vertices (7,-1) and (1, -1) and foci (9,-1) and (-1, -1) Note: repeat of y = -1

Hyperbola opening right and left along y = -1

 

Vertices (7,-1) and (1, -1),  h = = 4  ⇒ foci are 3 units right and left of center (4, -1),  a = 3



foci (9,-1)_ and (-1, -1). 5 units right and left of center (4, -1)  = 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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