SOLUTION: Write the equation of the ellipse with foci of (2,6) and (2,-18) and minor axis of 10.

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Question 742851: Write the equation of the ellipse with foci of (2,6) and (2,-18) and minor axis of 10.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Half the distance from (2,6) to (2,-18) is the value, 'c'. The minor axis being length 10 means that half of that distance, 5, is the value for 'b'. The y value directly between (exact middle of) 6 and -18 is the y value for the center point, being (2, -12), which is also the academically described point usually called (h,k).

Standard Ellipse for Foci Vertical: %28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1
Be aware, a%5E2=b%5E2%2Bc%5E2.