Dilation Factor of Parabola
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This example demonstrates how the dilation factor affects the shape of a parabola. Key mathematical concepts include quadratic functions and geometric transformations. By adjusting parameter n, the size and direction of the parabola's opening can be observed. The GeoGebra commands used in the construction include n, c, and text1. Suitable for high school mathematics education and learning about quadratic function transformations.
GeoGebra Commands & Parameters
Numeric n(2)y = (n * (x - 2)^(2)) - 3
AI Drawing Prompt Reference
Draw a parabola with its vertex at (2, -3). Adjust the value of parameter n to change the size and direction of the parabola's opening. First, set n to 2, then use the equation y = (n * (x - 2)^2) - 3 to plot the parabola.
The prompt above was compiled from the original drawing commands and is for reference only.