Vertical Shift Transformation
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This example demonstrates the vertical shift transformation of function graphs. Key mathematical concepts include function transformation and image translation. By adjusting parameter k, the effect of shifting the graph of function f(x) up or down by k units along the y-axis can be observed. The construction summary uses GeoGebra commands for objects f, k, and g. Suitable for high school mathematics education and learning function transformations.
GeoGebra Commands & Parameters
f(x) = x^(2)Numeric k(-3.0)g(x) = x^(2) + k
AI Drawing Prompt Reference
Draw a parabola and then shift it vertically along the y-axis by k units to demonstrate the vertical shift transformation of the function graph, where k can be adjusted from -3 to observe the effect of shifting up or down.
The prompt above was compiled from the original drawing commands and is for reference only.