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Quadratic Functions - Matching Parabolas Using Vertex Form

Quadratic Functions - Matching Parabolas Using Vertex Form
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2014-04-28 10:11
FunctionCoordinate GeometryGraphing
This example provides a given parabola and asks students to write the equation in vertex form. It demonstrates the basic properties of quadratic functions and the application of the vertex form. GeoGebra commands used include Random, RandomElement, Textfield, etc. Suitable for middle school and above students to learn about the graph and properties of quadratic functions.

GeoGebra Commands & Parameters

  1. Random(1, 10) → a
  2. RandomElement({-7, -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7}) → b
  3. RandomElement({-1, 1}) → d
  4. RandomElement({-1, 1}) → e
  5. Textfield(h) → inputBox1
  6. Textfield(k) → inputBox2
  7. Textfield(g) → inputBox3
  8. RandomElement({1, 2, 3}) → r

AI Drawing Prompt Reference

Draw a quadratic function graph with random coefficients, showing input boxes for the vertex form equation and labeling the vertex coordinates and function graph, where coefficients a, b, d, e are randomly generated, input boxes for vertex coordinates g and k, and coefficient r determines the direction of the graph, overall demonstrating the graph and basic properties of quadratic functions.
The prompt above was compiled from the original drawing commands and is for reference only.