Translating Lines Task: Graphing Linear Functions and Transformations
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LINEAR FUNCTIONS
This example demonstrates the translation of lines in a Cartesian coordinate system. Core concepts include linear functions, line equations, and translation vectors. Construction utilizes GeoGebra commands like InputBox for parameters, Textfield and LaTeX for formula display, and Buttons to trigger transformations between functions f and g. It plots points A through G and related geometric objects. Suitable for high school analytic geometry instruction or self-study to understand graph transformation rules.
GeoGebra Commands & Parameters
Textfield(a) → InputBox6LaTeX(f_1, true, true) → text2Textfield(n) → InputBox1Textfield(f_3) → f_2TableText({{t_1, t_2, t_3}, {C2, D2, E2}, {C3, D3, E3}, {C4, D4, E4}, {C5, D5, E5}, {C6, D6, E6}, {C7, D7, E7}, {C8, D8, E8}, {n, f_1(n), f_3(n)}}, "|_r") → text3