Linear Horizontal Translation Demo

Linear Horizontal Translation Demo
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2016-07-25 23:26
①This GeoGebra example dynamically demonstrates the horizontal translation of a linear function's graph, showing how changes in the function expression correspond to shifts along the x-axis. ②The core mathematical concept is the transformation of function graphs, specifically horizontal translation: adding or subtracting a constant to the independent variable x moves the graph left or right while preserving the slope. ③Construction details: objects f, h, and g are defined, where f is the original linear function, and h and g are horizontally translated versions; users can drag sliders or input parameters to observe real-time shifts and compare the algebraic forms. ④This is suitable for middle or high school students learning function transformations, and serves as an interactive tool for classroom demonstrations or self-study, building intuition for translating more complex functions like quadratics or logarithms.

GeoGebra Commands & Parameters

  1. f(x) = (2 * x)
  2. Numeric h(0.0)
  3. g(x) = (2 * (x - h))