Quadratic Functions

Identifying Quadratic Equations

standard form: ax² + bx + cy² + dy + e= 0

A = C : equation of a circle.

A or C = 0 : equation of a parabola.

A or C have different signs : equation of a hyperbola.

A is not equal to C but is the same sign : equation of an ellipse. 

Example:

Equation:

x² + y² = 16

Example: 2 (Ellipse)

√(36-4x²)

-√(36-4x²)