Graphing Parabolas by Andrea Hendricks
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This example demonstrates how to graph parabolas using GeoGebra. Parabolas are the graphs of quadratic functions, an important concept in coordinate geometry. By adjusting the parameters h, k, and c, you can observe changes in the position, direction, and shape of the parabola. This example uses GeoGebra commands h, k, and c for construction. Suitable for high school mathematics education and learning about quadratic function graph transformations.
GeoGebra Commands & Parameters
Numeric h(2.05)Numeric k(-3)y = (x - h)^(2) + k
AI Drawing Prompt Reference
Draw the graph of a quadratic function, adjusting parameters h and k to change the position and direction of the parabola, with h set to 2.05 and k set to -3, to observe how the parabola moves and changes shape as the parameters vary.
The prompt above was compiled from the original drawing commands and is for reference only.