Quadratic Functions

*The standard form of a quadratic equation is: ax² + bx + cy² + dy + e= 0

If an equation looks something like  6x+5y²=25, then it's an ellipse because the signs are the same and a is not equal to c.

 

If the equation looks something like 3x²+5y²= 15, then it's a parabola  
because a or c is equal to 0.








If the equation looks something like

4x²-4y²=12, then the equation is a
hyperbola  because the a and c are the
same coefficient but with different 
signs.                      





If the equation looks something like 3x²+3y²=18, then the equation is a

circle because a is equal to c.