Quadratic equations: Circles, Parabola, Ellipse, Hyperbola

Quadtratic Equations:

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

If there is an equation like 4x² + 4y² = 36 then it is a circle  because a=c. The a is 4 and the c is 4

If there is an equation like 2x² + 4y = 3 then it is a parabola because a or c equals 0

If there is an equation like 4x² - 4y² = 12 then it is a hyperbola  because a and c have different signs.

If there is an equation like 4x² + 3y² = 25 then it is an ellipse because a is not equal to c, and the signs are the same.






--------This is an ellipse--------