Graphing Exponential Functions: Translations
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This example demonstrates the translation transformations of exponential function graphs. It involves core math concepts like the properties of exponential functions and graph transformations (translations). Key GeoGebra commands/objects used include a (constant), r (base), h (horizontal translation), g (vertical translation), k (vertical shift), f (function expression), and text2 (text annotation). Suitable for high school mathematics teaching to understand the rules of exponential function graph transformations.
GeoGebra Commands & Parameters
Numeric a(1)Numeric r(1.3)Numeric h(0)y = hNumeric k(0)f(x) = (a * r^(x - k)) + h
AI Drawing Prompt Reference
Draw an exponential function graph to demonstrate its translation transformations. Set a constant to 1, a base to 1.3, an initial horizontal translation to 0, and an initial vertical translation to 0. Plot the exponential function, which is determined by the base, constant, horizontal translation, and vertical translation, and label the values of these key parameters.
The prompt above was compiled from the original drawing commands and is for reference only.