This paper enables high school students to understand the displacement of the graph parallel to the axis when the variables x and y are changed appropriately. Detailed examples are given for the displacement of the graphs of trinomial-sine-exponential and logarithmic functions. Also, the GeoGebra software application gives us significantly different visual representations compared to the two-dimensional sketches for the aforementioned functions.

functions, transformation, translation, horizontal, vertical, dialation.

Received: July 3, 2022; Accepted: August 22, 2022; Published: August 27, 2022

How to cite this article: Athanasios Paraskevopoulos, Learning translation of functions using GeoGebra, Far East Journal of Mathematical Education 23 (2022), 45-55. http://dx.doi.org/10.17654/0973563122012

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:

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[3] A. Zayed, Handbook of Function and Generalized Function Transformations, CRC Press, Taylor & Francis Group, 1996.