SOLUTION: Please help me with this.Finding the equation of ellipse given the center(2,-3) major axis 16,focus (2,3)

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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