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Quadratic Inequalities by Jonathan Robinson

Quadratic Inequalities by Jonathan Robinson
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2015-02-04 23:00
FunctionCoordinate GeometryInequality
Explore the solutions of quadratic inequalities by adjusting parameters. This example focuses on the concept of quadratic inequalities and their solutions. It utilizes GeoGebra's slider animation and show/hide buttons. Suitable for middle school and above students to learn the solution methods and applications of quadratic inequalities.

GeoGebra Commands & Parameters

  1. Numeric a(1.0)
  2. Numeric b(4.0)
  3. Numeric c(4.0)
  4. y = ((a * x))^(2) + (b * x) + c
  5. e(x, y) = y < ((a * x))^(2) + (b * x) + c
  6. f(x, y) = y > ((a * x))^(2) + (b * x) + c
  7. g(x, y) = y ≤ ((a * x))^(2) + (b * x) + c
  8. h(x, y) = y ≥ ((a * x))^(2) + (b * x) + c
  9. Boolean i(false)
  10. Boolean j(false)
  11. Boolean k(false)
  12. Boolean l(false)

AI Drawing Prompt Reference

Draw a quadratic function graph and display its inequality solution sets. Adjust parameters via sliders to show the function y = ax^2 + bx + c, with different colors for y < ax^2 + bx + c, y > ax^2 + bx + c, y ≤ ax^2 + bx + c, and y ≥ ax^2 + bx + c regions. Start with a=1, b=4, c=4, and use toggles to control the visibility of each inequality solution set.
The prompt above was compiled from the original drawing commands and is for reference only.