Question 1169049: Please help me with this.Finding the equation of ellipse given the center(2,-3) major axis 16,focus (2,3)
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
The center (2,-3) and focus (2,3) are on the same vertical line, so the major axis is vertical.
General equation:
The center is (h,k); a is the semi-major axis and b is the semi-minor axis.
The center (h,k) is (2,-3); the major axis is 16, so the semi-major axis is a=8.
The distance from the center to the focus is c, where a, b, and c are related by 
In this problem, c is the distance from (2,-3) to (2,3).
So you know a and c; so you can calculate b. Then you will have everything you need to write the equation.
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