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Vertex Form of Parabolas

Author:
A B Cron
Topic:
Parabola
A Standard Form of a quadratic equation is: a (x - h)² + k If a ≠ 0, this equation is a parabola which has several points: Vertex (Turning Point) 0, 1, or 2 x-intecepts 1 y-intercept
GeoGebra Applet
There is a sample charge at on the worksheet. Create a similar chart on your paper; for the sketch column, allow more room. Move the sliders a, b, and c to create a record of your work. Examine the table to see if you can determine a pattern for the variables a, b, and c from the chart. I suggest testing initially with only one slider at a time. Do a second chart varying only two sliders; then vary all three.

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