Horizontal Translations of Quadratic Functions by Wolfe Wall
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This example demonstrates the horizontal translations of quadratic function graphs. It involves core math concepts like quadratic functions, horizontal translation transformations, and function graph transformations. GeoGebra commands used include c (constant), f (function), F_t (translated function), A (point), and text1 (text). Suitable for high school mathematics teaching to understand function graph transformation rules.
GeoGebra Commands & Parameters
Numeric c(1.0)f(x) = x^(2)F_t(x) = f(x - c)(c + 1, F_t(c + 1))
AI Drawing Prompt Reference
Draw a parabola y=x^2 and its horizontal translation y=(x-1)^2 to illustrate the transformation. Mark the point (2,1) on the translated parabola and label the translation distance as 1 to show the effect of horizontal translation on the function graph.
The prompt above was compiled from the original drawing commands and is for reference only.