Translation of Quadratic Function by Changing Constant
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TRANSFORMATION OF FUNCTIONS
This example demonstrates the vertical translation of a quadratic function graph by altering the constant term. Key concepts involve function transformation, quadratic equations, and coordinate geometry. Construction utilizes GeoGebra objects f for the function, parameter a for the constant, objects g and h for visualizing the shift, and text1 for dynamic labeling. Ideal for middle or high school students to visualize function properties and graph transformations interactively.
GeoGebra Commands & Parameters
f: y = abs(x)Numeric a(2.0)g(x) = abs(x) + ah(x) = abs(x) - a