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

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