Foci of Ellipses

2 years ago
14

Hello there, for today's video, I will be talking about foci or focus points. In a previous video, I covered ellipses, the equation of ellipses and how to graph ellipses. In this video, I focus on the foci specifically. The foci are 2 reference points that are on the major axis (longer side of the ellipses) and are equidistant from the center. The center point is (h,k). The distance between the center and the foci is calculated by a^2 - b^2 or b^2 - a^2. Just remember that the foci has to be a positive number so if you switch up the a^2 - b^2 and b^2 - a^2, it's ok. Take the positive one since the numbers should be the same. There are 2 reference points so you will often times see the foci as (h+/- c, k)

Link to previous videos:
Ellipses: https://rumble.com/vwwbj0-equations-of-ellipses-standard-form-and-graphing-ellipses.html
Circles: https://rumble.com/vw6ury-equations-of-circles-standard-form-and-graphing-circles.html

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