Horizontal Parabola Demo
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This example demonstrates the geometric definition and properties of a horizontal parabola, showing the positional relationships between the vertex, focus, and directrix by dynamically adjusting parameters. Core mathematical concepts include parabola definition, median value, fractions, 2D vectors, polynomial functions, and scatter plots. Construction highlights from the GeoGebra command summary involve objects h, k, p, Vertex, Focus, directrix, text1, d. Suitable for high school coordinate geometry teaching to visually understand the parameter equations of parabolas and their geometric significance.
GeoGebra Commands & Parameters
Numeric h(-2)Numeric k(2.2)Numeric p(0.2)(h, k)(h + p, k)x = h - px - h = ((4 * p) * (y - k)^(2))
AI Drawing Prompt Reference
Draw a horizontal parabola, showing the positional relationships between the vertex, focus, and directrix by dynamically adjusting parameters. First, mark the vertex and focus, then draw the directrix, and finally use a scatter plot to show points on the parabola.
The prompt above was compiled from the original drawing commands and is for reference only.