Study parabolas in the number plane. Consider regions where the quadratic expression is positive, negative, or zero. and relate them to the equation of the parabola. Consider symmetry, and explore the effect of translation. Compare the two forms of the equation of a parabola.

Parabola Explorer
Investigate their shape, equations and other properties

Adjust the constraints and drag the points to explore the graphs and equations of a variety of parabolas.

Standard form:
Vertex form:



Interactively study the parabola

Enter an equation for a parabola:

Use either standard or vertex form,
e.g. y = 2x^2 - 4x - 5 or (x - 1)^2 = 1/2 (y + 7)