Transforming Linear Functions - PCSS 1

Transforming Linear Functions - PCSS 1
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2016-11-18 02:38
① This GeoGebra example dynamically demonstrates how linear functions transform when their parameters change, visually linking algebraic expressions to their graphs. ② Core mathematical concepts include linear functions, slope and intercept, translations and dilations of function graphs, and the use of vectors in three-dimensional space. ③ Construction highlights: using GeoGebra objects such as functions f, a, g, h, p, q and text1, the example likely employs sliders or parameter controls to update the graph in real time, possibly incorporating polygons and 3D vectors to illustrate the geometric meaning of transformations. ④ Suitable for high school or pre-university students learning function transformations and coordinate geometry, as well as for teachers demonstrating the connection between algebra and geometry in class.

GeoGebra Commands & Parameters

  1. f(x) = x
  2. Numeric a(1.95)
  3. g(x) = f(x + a)
  4. h(x) = f(x) + a
  5. p(x) = f((a * x))
  6. q(x) = (a * f(x))