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Angry Birds and Parabolas

Angry Birds and Parabolas
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2011-12-13 23:06
FunctionCoordinate GeometryGraphing
In collections Geom Graph Parabolas
This example uses the Angry Birds game to demonstrate the movement and transformation of parabolas in the coordinate plane. It involves core math concepts like parabola equations, coordinate transformations, and parameter adjustments. Constructed using GeoGebra commands/objects h, k, a_1, a, text1, pic1, c, text3, text2 for parameterized control and dynamic display, suitable for high school mathematics teaching on analytical geometry and function graphing.

GeoGebra Commands & Parameters

  1. Numeric h(9.0)
  2. Numeric k(11.0)
  3. x = h
  4. Numeric a(-0.6)
  5. y = a * (x - h)^(2) + k

AI Drawing Prompt Reference

Draw a parabola in the coordinate system with its vertex at (9,11) and opening downwards, controlled by parameter a with a value of -0.6. Adjust the position of the parabola using parameters h and k, where h is 9 and k is 11. Display the values of parameters a, h, and k, and label them in the coordinate system.
The prompt above was compiled from the original drawing commands and is for reference only.