Complex Roots and Quadratic Graphs by Steve Phelps
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This example demonstrates how dragging the BLUE point (one of the complex conjugate roots) affects the quadratic function graph. It involves core concepts like complex numbers, quadratic functions, and the relationship between roots and graphs. Constructed using commands like Mirror, Point, Locus, and LaTeX, with objects such as A, B, E, B', C, z_1, D, and loc1. Suitable for high school mathematics education to understand the connection between complex roots and function graphs.
GeoGebra Commands & Parameters
Mirror(A, xAxis) → EMirror(B, xAxis) → B'Point(xAxis) → CLocus(D, C) → loc1LaTeX($1) → text2