Exploring Quadratic Functions by Cynthia Garland

Exploring Quadratic Functions by Cynthia Garland
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2016-05-12 03:47
This example demonstrates the graph of a quadratic function f(x)=ax²+bx+c and how its variables interact with the graph. Key math concepts include quadratic functions, function graphs, vertex, axis of symmetry, and intersections with the x-axis and y-axis. It uses GeoGebra commands like Extremum (to find extremum points) and Intersect (to find intersections), with objects such as parameters a, b, c, function f, text1, point V, y-intercept yint, and x-intercepts xint_1, xint. Suitable for high school mathematics education to help students visually understand the impact of parameter changes on the function graph.

GeoGebra Commands & Parameters

  1. Extremum(f) → V
  2. Intersect(f, yAxis, 1) → yint
  3. Intersect(f, xAxis, 1) → xint_1
  4. Intersect(f, xAxis, 2) → xint