Graph Transformations - Parabola
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This example demonstrates transformations of a parabola function graph, including translations, scalings, and rotations. Key math concepts involve function transformations, geometric transformations, and analytical geometry. GeoGebra commands used include Vector and Function, with objects like c, a, p, q, d, V, A, B, O, u, f, A2, B2, v, w. Suitable for high school students and educators to explore the properties of function graph transformations.
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 function graph to demonstrate its transformations including translations, scalings, and rotations. Start by plotting the original function, then use vectors to show translations and rotations, marking key points and translation vectors, and finally display the transformed function graphs with different colors or thicknesses to illustrate the relationships between function and geometric transformations.
The prompt above was compiled from the original drawing commands and is for reference only.