Exploring Vertical Translations of Quadratic Functions y = x^2 + c
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This example demonstrates the vertical translation of quadratic function family y = x^2 + c as parameter c changes. Core math concepts include quadratic functions, vertical translations, and parameter effects. GeoGebra commands used are Textfield for creating text objects involving c, a, InputBox1, text2, d, text1. Suitable for high school students to understand the transformation properties of quadratic function graphs and the impact of parameters on function images.
GeoGebra Commands & Parameters
Textfield(a) → InputBox1