Microworld: Graphs
of Quadratic Functions: (All-in-One)
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to visit the Microworld.
Author:
Kwok-Wai Mok (Munsang
College, Hong Kong)
This
Microworld explores with lively animation and interactive algebra the properties
of the graphs of quadratic functions, and symbolic and graphical ways of understanding
the solutions of quadratic equations. While it provides plenty of examples
and step-by-step instructions for its many exercises, its real strength is
that it offers you challenging and interesting exercises that will invite
you to think about what it all means, and to ask your own questions.
It
begins by discussing the general qualitative features of the parabolic graph
y = a*x^2+b*x+c creating examples and testing your understanding of the meaning
of parameters a, b, and c as they relate to properties of the graph. Next,
it shows you how to find the vertex of the parabola by rewriting the function
in the canonical form: y = a*(x-h)^2 + k. Next, it gives you the chance to
experiment with these ideas by creating your own graphs and letting you ask,
and then answering questions about those graphs.
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