Parabolas Transformations by Javier López

Parabolas Transformations by Javier López
Loading the math board and drawing, please wait…
2017-11-08 19:24
This example demonstrates transformations of parabolas, involving key mathematical concepts such as the properties and transformations of quadratic functions. By adjusting parameters a, b, c, and d, one can observe changes in the direction of the parabola's opening, the vertex position, and the axis of symmetry. Suitable for high school mathematics education and learning about quadratic function transformations.

GeoGebra Commands & Parameters

  1. Numeric a(1.01)
  2. Numeric b(0.05)
  3. Numeric c(0)
  4. y = (a * x^(2)) + (b * x) + c

AI Drawing Prompt Reference

Draw a parabola opening upwards and adjust parameters a, b, and c to change its opening direction, vertex position, and axis of symmetry. Parameter a controls the width and opening direction, b affects the tilt, and c determines the vertical shift.
The prompt above was compiled from the original drawing commands and is for reference only.