Translation of Quadratic Function by Changing Constant

Translation of Quadratic Function by Changing Constant
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2018-02-03 21:56
This example demonstrates the vertical translation of a quadratic function graph by altering the constant term. Key concepts involve function transformation, quadratic equations, and coordinate geometry. Construction utilizes GeoGebra objects f for the function, parameter a for the constant, objects g and h for visualizing the shift, and text1 for dynamic labeling. Ideal for middle or high school students to visualize function properties and graph transformations interactively.

GeoGebra Commands & Parameters

  1. f: y = abs(x)
  2. Numeric a(2.0)
  3. g(x) = abs(x) + a
  4. h(x) = abs(x) - a