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Quadratic functions and their graphs

A quadratic function is a type of polynomial function that can be written in the form:

where , and are constants and .

The shape of a quadratic function is called a parabola.

Positive quadratics have the shape of a positive parabola - they are upwards sloping (u-shape).

Negative quadratics have the shape of a negative parabola - they are downwards sloping (n-shape).