SOLUTION: Write the equation of the conic section satisfying the given conditions vertices (3,5) and (3,-5) and minor axis of length 4

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Question 739168: Write the equation of the conic section satisfying the given conditions
vertices (3,5) and (3,-5) and minor axis of length 4
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the conic section satisfying the given conditions
vertices (3,5) and (3,-5) and minor axis of length 4
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This is an ellipse with vertical major axis. (y-coordinates of vertices change but x-coordinates do not)
Its standard form of equation: %28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, (a>b), (h,k)=(x,y) coordinates of center.
For given ellipse:
center: (3,0)
a=5 (distance from center to vertex on vertical major axis)
a^6=25
b=2 (distance from center to end point of minor axis)
b^2=4
Equation: %28x-3%29%5E2%2F4%2By%5E2%2F25=1