Translation of Parabola in y Direction

Translation of Parabola in y Direction
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2016-02-02 17:48
This example demonstrates the translation of a parabola in the y direction. Key mathematical concepts include the translation transformation of a parabola. By adjusting parameters a and c, the movement of the parabola in the y direction can be observed. The example uses GeoGebra objects a and c for construction.

GeoGebra Commands & Parameters

  1. Numeric a(0.2)
  2. y = x^(2) + (3 * x) + a

AI Drawing Prompt Reference

Draw a parabola with its vertex at the origin, then translate it along the y-axis by adjusting parameter a. First, draw the parabola y = x^2 + 3x, then change the value of a to observe the movement of the parabola along the y-axis.
The prompt above was compiled from the original drawing commands and is for reference only.