SOLUTION: Find an equation for the hyperbola whose graph has vertices (+/-5,0) and foci (+/-7,0).

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Question 746113: Find an equation for the hyperbola whose graph has vertices (+/-5,0) and foci (+/-7,0).

Answer by lwsshak3(11628) About Me  (Show Source):
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Find an equation for the hyperbola whose graph has vertices (+/-5,0) and foci (+/-7,0)
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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)=(x,y) coordinates of the center.
center: (0,0)
a=5 (distance from center to vertices)
a^2=25
c=7 (distance from center to foci)
c^2=49
c^2=a^2+b^2
b^2=c^2-a^2=49-25=24
Equation of given hyperbola: x%5E2%2F25-y%5E2%2F24=1