Question 1087740: Please help me solve this hyperbola equation with vertices(5,-3) and (-1,-3) and afocus at (7,-3)
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! hyperbola equation with vertices ( , ) and ( ,) and a focus at ( ,)
the standard form of the equation is: looking at coordinates of vertices, yu have a horizontal hyperbola
center: ( ,  )
vertices: ( ±  , )
foci: ( ±  , )
The vertices are above and below each other, so the center, foci, and vertices lie on a vertical line paralleling the y-axis
The center is  between the two vertices, so if vertices at (,) and (,)
(,)=( , )=( ,)
so, 
since vertices:
( ± , ) =(,)=>
±= and since  and we can find
so,
since foci:
( ± , )=(,) =>
 and since we have
since  we can find 
 or 
so, your equation is:
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