Quadratic Bézier Curve
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This example demonstrates the construction of a quadratic Bézier curve, which is a smooth curve defined by two control points and a base point. Using GeoGebra commands Segment and Locus, the curve generation process is dynamically shown. Suitable for high school mathematics education, particularly in coordinate geometry and parametric equations.
GeoGebra Commands & Parameters
Segment(A, B) → fSegment(B, C) → gSegment(P, Q) → hLocus(R, t) → c
AI Drawing Prompt Reference
Draw a quadratic Bézier curve with points A and B as control points and point C as the base point. First, draw segment AB, then draw segment BC, and next draw segment PQ. Finally, generate the curve using the locus of point R as a function of parameter t.
The prompt above was compiled from the original drawing commands and is for reference only.