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The Ellipse  Problem 17
FREEAlissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
In the general form of a conic, if the x^2 and y^2 terms are added and have different coefficients and are being added, then you know you have an ellipse. In order to get it into standard form, we need to complete the square on the x's and y's. Lastly, remember that an ellipse equation in standard form needs to be = 1, so if you get anything other than 1 on the right side, you'll need to divide all terms by that value (here, we divide everything by 36.) From standard form, you can identify the coordinates of the center, determine whether its major axis is vertical or horizontal, and length of "a" and "b" in order to sketch the ellipse.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
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Sample Problems (20)
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Problem 4 7,273 viewsGiven 4x² + y² + 24x − 4y + 36 = 0.
Find the center and length of the major and minor axis. 
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