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Roller Coaster Parabola Model

Roller Coaster Parabola Model
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2013-05-20 20:17
FunctionCoordinate Geometry
This example demonstrates how the drop section of a roller coaster can be modeled using a parabola. It involves key math concepts like function graphs, parabolas, quadratic equations, and real numbers. Constructed with GeoGebra commands such as Line and Textfield, it is suitable for high school students learning about quadratic functions and their properties, ideal for classroom instruction or homework practice.

GeoGebra Commands & Parameters

  1. Line((instructionEdge + ((4 * indent) * screenwidth), 0), yAxis) → align3
  2. Line((instructionEdge + ((3 * indent) * screenwidth), 0), yAxis) → align2
  3. Line((instructionEdge + ((2 * indent) * screenwidth), 0), yAxis) → align1
  4. Line((0, y_{min}), xAxis) → e
  5. Textfield(x_{in}) → inputBox1
  6. Textfield(x_{out}) → inputBox2
  7. Textfield(y_{min}) → inputBox3

AI Drawing Prompt Reference

Draw a coordinate system with x and y axes. On the left side of the x-axis, draw three horizontal lines equally spaced from top to bottom. Label the minimum value of y on the x-axis. Set up three input boxes on the left for entering the input value of x, the output value of x, and the minimum value of y to construct a parabola model, demonstrating the function graph of the drop section of a roller coaster.
The prompt above was compiled from the original drawing commands and is for reference only.