In general, a parabola is formed when you graph a quadratic function. A quadratic is in the form: where a,b and c are constants.

The parabola shape really comes from the x^{2} term, which you can see above, which is the graph of
y = x^{2}. This is the absolute simplest quadratic where b=0, c=0 and a=1.

Regardless of the values of a b and c, the graph is a parabola. Their values alter it's shape and position in various ways. This is explored in depth in Quadratic Explorer, where you modify a,b and c with sliders to observe the effect on the parabola's shape.

- Parabola (focus/directrix)
- Parabola (equation of the line)
- Parabola (Conic section)
- Deriving the equation of a parabola

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