Parabola: Vertex Form and Roots

Parabola: Vertex Form and Roots
Loading the math board and drawing, please wait…
2019-04-25 14:21
In collections FOM 12 BC
This example demonstrates how to transform a parabola using vertex form and visualize its roots. Key math concepts include parabola equations, vertex form, roots, and function transformations. It utilizes GeoGebra commands like Random, RandomElement, Min, Max, Root, Textfield, Simplify, along with sliders to dynamically adjust parameters and compute roots. Suitable for high school mathematics education to understand parabola properties and function graph transformations.

GeoGebra Commands & Parameters

  1. Random(-20, 20) → fk
  2. RandomElement({-2, -1, -1, 1, 1, 1, 1, 2, 3}) → fa
  3. Min(-5, fh - 5) → exmin
  4. Max(5, fh + 5) → exmax
  5. Min(-10, fk - 5) → eymin
  6. Max(10, fk + 10) → eymax
  7. Root(f) → A, B
  8. Textfield(emptyleft) → InputBox1
  9. Textfield(emptyright) → InputBox2
  10. Simplify(f) → p