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General Quadratic Parabola

General Quadratic Parabola
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2014-11-08 01:11
FunctionCoordinate GeometrySlider Animation
This example uses checkboxes and sliders to demonstrate the graph and equation of a general trinomial. It involves the graphical representation of quadratic functions and equations. Using GeoGebra commands such as TextField, Point, OrthogonalLine, etc., it dynamically shows the vertex, focus, and directrix of the parabola. Suitable for high school mathematics education and learning about quadratic functions.

GeoGebra Commands & Parameters

  1. Textfield(a) → inputBox1
  2. Textfield(b) → inputBox2
  3. Textfield(c) → inputBox3
  4. Point(f) → Drag
  5. OrthogonalLine(Drag, DIRECTRIX) → h
  6. Intersect(DIRECTRIX, h) → B
  7. Segment(B, Drag) → i
  8. Segment(FOCUS, Drag) → j
  9. Circle(Drag, B) → p

AI Drawing Prompt Reference

Draw the graph of a quadratic function with three adjustable input parameters. Dynamically show the vertex, focus, and directrix of the parabola. First, draw the focus and directrix, then draw a perpendicular line from the focus to the directrix, find the intersection point, connect the focus and intersection point, and draw a circle with the diameter as the focus and intersection point to demonstrate the geometric properties of the parabola.
The prompt above was compiled from the original drawing commands and is for reference only.