Wednesday, October 6, 2010

Quadratic Functions

This is how to identify Quadratic Functions:
The standard Form is: ax² + bx + cy² + dy + e= 0

Circle Equation- A=C
So for example X2+Y2=9. So the center is at the origin. And the radius is 3.
Parabola- A or C = 0
For example: X2+4X+4. So the intercepts are at 2 on the x axis and 4 on the y.

Hyperbola- A or C has different signs from each other
For example: (X2/A2) - (Y2/B2) = 1
The two red lines are asymptotes. Or lines the hyperbola will continue to try to reach but will never reach.



Ellipse- A is not equal to C. However the signs are still the same.
For example: x2/16 + y2/4 = 1