How to Identify Quadratic Functions?

Standard Form of a Quadratic

ax² + bx + cy² + dy + e = c




If a=c, then the equation is a circle.
Example- 2a² + 2c² = 24

If a does not equal c and the signs are the same then the equation is an ellipse.

Example- 9a² + c² = 3

If a or c = 0, the equation is a parabola.

Example- a ²+a-3 = 0

If a and c are different signs the equation is a hyperbola.

Example- 3a² - 3c² = 36