Factored Form of a Quadratic Function

Henri Picciotto

This is a graph of y = a(x-p)(x-q)

You can move p and q along the x-axis, and change a using the slider

For a given a, p, q: What is the y-intercept? Why?; What are the coordinates of the vertex? Why?
For a given p and q, how can you get the y-intercept where you want it?
For a given a and p, how can you get the y-intercept where you want it?

Download:: the GeoGebra file; the Cabri file

Related pages on this site:: Multiplying Binomials; Making Connections; Parabolas and Quadratics; More Algebra; More Applets