Parabola Properties

This sketch shows the key parts of a general, vertically-oriented parabola. Play around with sliding [math]p[/math] to see how that affects the graph. Move [math]h[/math] and [math]k[/math] to translate the parabola horizontally and vertically. Also, you can drag point [math]P[/math] on the parabola. The equation is shown, based on the form [math]4p(y-k)=(x-h)^2[/math]