Wednesday, October 6, 2010

Identifying Quadratic Equations and Circles

The Standard Form of a Circle: (x-h)^2+(y-k)^2=r^2

The Standard Form of a Quadratic Equation: ax^2+bx+cy^2+dy=e

To find out whether an equation is a Circle, Hyperbola, Ellipse, or a Parabola use the equation: Ax^2+Cy^2=E.

If A=C, the equation is a CIRCLE.
If A does NOT equal C and has the same sign, the equation is an ELLIPSE.
If A=C, but has different signs, the equation is a HYPERBOLA.
If A or C are 0, the equation is a PARABOLA.

No comments:

Post a Comment