Horizontal Translation of a Graph by Lassad Bennasr
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This example demonstrates the horizontal translation of a function graph. The core mathematical concepts involved include function transformation, horizontal translation, and the geometric representation of function graphs. The construction uses GeoGebra commands and objects such as text1, f, text2, c, text3, text4, text5, text6, g, where the slider c controls the translation amount, visually showing the graph of g(x) as the function f(x) is translated left or right by c units. It is suitable for high school students learning about function transformations and analytical geometry.
GeoGebra Commands & Parameters
LaTeX(f, true, true) → text2
AI Drawing Prompt Reference
Draw a function graph and show its horizontal translation. Use a slider to control the translation amount, with the translated function graph moving left or right as the slider value changes. Label the original and translated functions, and explain the translation relationship, suitable for high school students learning function transformations and analytical geometry.
The prompt above was compiled from the original drawing commands and is for reference only.