Quadratic Functions by mathflower-moe
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This example demonstrates the graph and properties of quadratic functions. The graph of a quadratic function is a parabola. By adjusting the parameters of the function, you can observe changes in the direction of the parabola, the vertex, and the axis of symmetry. The GeoGebra commands used in the construction include Function, Horizontal__Shift, and Vertical__Shift. Suitable for high school mathematics education and students learning about quadratic functions.
GeoGebra Commands & Parameters
Function((a * (x - Horizontal__Shift)^(2)) + Vertical__Shift, -100, 100) → f
AI Drawing Prompt Reference
Draw the graph of a quadratic function using the expression (a * (x - h)² + k), where h controls the horizontal shift, k controls the vertical shift, and a determines the direction and width of the parabola. Adjust these parameters to observe changes in the direction, vertex, and axis of symmetry of the parabola.
The prompt above was compiled from the original drawing commands and is for reference only.