Thursday, March 13, 2014

Ellipses

An ellipse is defined as a set of all points, the sum of whose distances from two foci is constant. It is also important to identify the different parts of a parabola. First of all there is a major axis that can go either horizontally or vertically. The smaller axis is the minor axis. 

The equation of an ellipse is given by:

The major axis is "a" and is always bigger than b. If it's under x, then x is the major axis. The same is true for y. 
C^2 = a^2+ b^2
The center is (h,k) 
We can find the vertices by knowing the value of a. Once we know it, we add the value of a to the y or x points of the center. 
For the foci: we add and subtract the value of c to the coordinates of the center.

Here's an example of an ellipse


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