This section focuses on graphing and finding equations for ellipses. The basic equations for ellipses are:
[(y-k)^2]/a^2 + [(x-h)^2]/b^2 AND [(x-h)^2]/a^2 + [(y-k)^2]/b^2
(h,k) are the coordinates of the center. "a" and "b" are the distance between vertices and the center; a is the longer of the two. Although "c" is not in the equation, it is important to know that c is the distance between the center and each focus. c2 = a2 – b2
Some problems will give you the equation of an ellipse and you have to find out information from it (center, foci, vertices, and eccentricity) and sketch it using that information. Other problems will give you hints and ask you to find the equation. This problem (#33) gives you a sketch and the vertices, and asks for the equation:
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Works Cited:
http://www.purplemath.com/modules/ellipse.htm
thanks for sharing. good job Joe
ReplyDeleteHey Joe! This is a very clear and straightforward explanation and reiteration of what we learned on ellipses! Thanks for always writing your blog posts with simplicity and clarity!
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