Graphing Quadratic Equations - Classwork Example 2 by Garret Cahill
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This example demonstrates how to graph quadratic equations dynamically by adjusting coefficients. It involves core concepts like quadratic functions, coefficients, vertex, discriminant, and function graph characteristics. GeoGebra commands such as Coefficients, If, and Textfield are used for input, conditional logic, and text display. Suitable for high school mathematics education to understand the properties and parameter effects of quadratic functions.
GeoGebra Commands & Parameters
Coefficients(f) → CoeffIf(disc ≥ 0, h + sqrt(disc) / 2, 1) → x1If(disc ≥ 0, h - sqrt(disc) / 2, 1) → x2Textfield(f) → InputBox1
AI Drawing Prompt Reference
Draw a quadratic function graph and observe how the vertex, roots, and discriminant change by adjusting the coefficients. First, input the quadratic function expression, then calculate the x-coordinate of the vertex, followed by the x-coordinates of the roots, and finally display the input function expression.
The prompt above was compiled from the original drawing commands and is for reference only.