Exponential Function Transformations
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This GeoGebra example dynamically illustrates transformations of exponential functions, specifically y = a·b^(x−h) + k, through interactive sliders. It demonstrates how parameters a, b, h, and k affect the graph's vertical stretch, horizontal shift, vertical shift, and reflection across axes. Core concepts include exponential function behavior, parameterized transformations, and symmetry in the coordinate plane. Construction uses GeoGebra objects a, b, k, f, g, h, and text1 to create parameter controls and labels. Ideal for high school algebra, precalculus, and college-level introductory functions courses, supporting both teacher-led instruction and student-driven exploration of transformation patterns.
GeoGebra Commands & Parameters
Numeric a(0.95)Numeric b(1.95)Numeric k(2.5)f(x) = (a * b^(x)) + ky = kNumeric h(4)