Equation of a Parabola - Vertex Form
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This example demonstrates the vertex form of a parabola. It covers key mathematical concepts such as the vertex, focus, and directrix of a parabola. Using GeoGebra commands like Vector and Function, it dynamically illustrates the geometric transformations of a parabola. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Vector(O, V) → uFunction(q, p - 2, p + 2) → fVector(B2, B) → vVector(A2, A) → w
AI Drawing Prompt Reference
Draw a parabola in vertex form and show its vertex, focus, and directrix. First, draw a vector u from the origin to the vertex. Then, draw the parabola f with the vertex at the endpoint of u and opening upwards. Finally, draw two vectors v and w, representing the vectors from the focus to the vertex and from the vertex to the directrix.
The prompt above was compiled from the original drawing commands and is for reference only.