SOLUTION: find th equation of the ellipse determined by the given conditions vertices (0,0) and (0,8), focus (0,1)

Question 1187471: find th equation of the ellipse determined by the given conditions vertices (0,0) and (0,8), focus (0,1)
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Vertices (0,0) and (0,8) mean the center is (h,k) = (0,4) and the major axis is vertical, with semi-major axis (a) length 4. The equation is

You have the coordinates of the center and the value of parameter a. So you can determine a^2, and all you need to finish writing the equation is the value of b^2.

To find b^2, use , where c is the distance from the center to each focus.

Since you know the center and are given the focus, you can determine c, and thus calculate b^2.

Then you will have all you need to write the equation.

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