Question 762019: Find the standard form of the equation of the hyperbola satisfying the given conditions.
Conditions: vertices at (0,3) and (0,-3); foci at (0,5) and (0,-5)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the standard form of the equation of the hyperbola satisfying the given conditions.
Conditions: vertices at (0,3) and (0,-3); foci at (0,5) and (0,-5)
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Given hyperbola has a vertical transverse axis.
Its standard form of equation:  , (h,k)=(x,y) coordinates of center
For given hyperbola:
center: (0,0)
a=3 (distance from center to vertices)
a^2=9
c=5 (distance from center to foci)
c^2=25
c^2=a^2+b^2
b^2=c^2-a^2=25-9=16
Equation of given hyperbola:
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