Parabola (graph of a function)

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 x2 term, which you can see on the right, which is the graph of y = x2. This is the absolute simplest quadratic where b=0, c=0 and a=1.

Effect of the a,b,c coefficients

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.

Other shape topics