SOLUTION: Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).      Log On


   

Question 949178: Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).
Answer by lwsshak3(11628) About Me  (Show Source):
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Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).
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Given hyperbola has a horizontal transverse axis.
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, (h,k)=coordinates of center
..
center:(0,0)
a=3
a^2=9
b=5
b^2=25
equation: x%5E2%2F9-y%5E2%2F25+=1