Quadratic Inequalities in XCOM Game Application

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2013-01-18 00:12

This example demonstrates how to solve real-world problems using quadratic inequalities inspired by the computer game XCOM - Enemy Unknown. It involves core math concepts like quadratic functions, inequality solving, and probability analysis. Constructed with GeoGebra commands/objects such as Function, Point, Slider, and Locus to create dynamic function graphs and models. Suitable for high school students to enhance their understanding of quadratic functions and inequalities.

GeoGebra Commands & Parameters

Function(x - r + (1 - (x - r)) * (x - r), 0, 1) → f
Function(x, 0, 1) → g
Point(f) → A
Point(g) → B
Function(2 * (x - r), 0, 1) → h
Point(h) → C

AI Drawing Prompt Reference

Create a dynamic graph featuring three functions: a quadratic function that changes shape by adjusting parameter r, and two linear functions intersecting the quadratic at two points. Display the locus of these intersection points, using distinct colors for each function to illustrate the solution set of quadratic inequalities and probability analysis.

The prompt above was compiled from the original drawing commands and is for reference only.