How to identify quadratic functions:Standardform: ax² + bx + cy² + dy + e= 0
If you have an equation like 2x² + 2y²=18 The equation is a circle, because a=c
If a or c equals 0 the equation is a parabola (for example: 2x² + 4y= 3)
If a or c have different signs the equation is a hyperbola ( for example: 4x² - 4y²= 12)
If you have an equation like 5x² + 4y²= 20 the equations is an ellipse, because a is not equal to c and the signs are the same
If you have an equation like 2x² + 2y²=18 The equation is a circle, because a=c
If a or c equals 0 the equation is a parabola (for example: 2x² + 4y= 3)
If a or c have different signs the equation is a hyperbola ( for example: 4x² - 4y²= 12)
If you have an equation like 5x² + 4y²= 20 the equations is an ellipse, because a is not equal to c and the signs are the same
Circle
Parabola
Hyperbola
Ellipse
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