Basic Parabola by VTMike
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This example demonstrates how a parabola transforms using sliders. It involves core math concepts like functions, coordinate geometry, and transformation. Constructed with GeoGebra commands: a (parameter), h (horizontal shift), k (vertical shift), f (function expression). Ideal for middle school students and math enthusiasts to understand parabola transformation rules.
GeoGebra Commands & Parameters
Numeric a(1.0)Numeric h(0.0)Numeric k(0.0)f(x) = (a * (x - h)^(2)) + k
AI Drawing Prompt Reference
Draw a Cartesian coordinate plane with a parabola opening upward. The parabola is controlled by three sliders: one adjusts its width (vertical stretch), one shifts it horizontally, and one shifts it vertically. Initially, the vertex is at the origin with a moderate opening. When sliders are moved, the parabola translates or stretches while maintaining its basic shape. Clearly label the axes, tick marks, and the vertex to show how transformations affect the graph.
The prompt above was compiled from the original drawing commands and is for reference only.