Wednesday, October 6, 2010

Quadratic Functions

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

If you have an equation like 2x² + 2y²=18 The equation is a circle, because a=c

If a or c equals 0 the equation is a parabola (for example: 2x² + 4y= 3)

If a or c have different signs the equation is a hyperbola ( for example: 4x² - 4y²= 12)

If you have an equation like 5x² + 4y²= 20 the equations is an ellipse, because a is not equal to c and the signs are the same
Circle

P
Parabola
Hyperbola
Ellipse


No comments:

Post a Comment