Monday, December 13, 2010

Quadratic equations: Circles, Parabola, Ellipse, Hyperbola


Quadtratic Equations:

How to identify quadratic equations:
ax² + bx + cy² + dy + e= 0

If there is an equation like 4x2 + 4y2 = 36 then it is a circle  because a=c. The a is 4 and the c is 4

If there is an equation like 2x2 + 4y = 3 then it is a parabola because a or c equals 0

If there is an equation like 4x2 - 4y2 = 12 then it is a hyperbola  because a and c have different signs.

If there is an equation like 4x2 + 3y2 = 25 then it is an ellipse because a is not equal to c, and the signs are the same.





--------This is an ellipse--------

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