Interactive Logarithmic Function Parameter Demo

Interactive Logarithmic Function Parameter Demo
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2015-09-23 10:03
This GeoGebra applet demonstrates how varying parameters affect the logarithmic function graph. Users can adjust sliders for k (vertical scaling), a (base-related), h (horizontal shift), and c (vertical shift) to observe real-time transformations of f(x)=k·log(a(x-h))+c. The construction includes parameter sliders k, a, h, c, function f, text labels, and Y-axis. Ideal for high school mathematics teaching, helping students understand graphical transformations of logarithmic functions and the geometric meaning of parameters when base > 0 and base ≠ 1.

GeoGebra Commands & Parameters

  1. Numeric k(0.0)
  2. Numeric a(1.0)
  3. Numeric h(0.0)
  4. Point A(2.0, 4.0)
  5. Numeric b(1.0)
  6. Numeric c(1.0)
  7. f(x) = (a * log((b * (x - h)^(c)))) + k
  8. ((1 / b)^(1 / c) + h, k)