Vertical and Horizontal Translations
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This example demonstrates the vertical and horizontal translations of function graphs. It involves core mathematical concepts such as function transformations, translation, and median line. The construction uses GeoGebra commands/objects like h (horizontal translation), k (vertical translation), v (function graph), f (original function), and g (translated function). It is suitable for high school students learning about function transformations and understanding the effects of translations on function graphs.
GeoGebra Commands & Parameters
Numeric h(0.0)Numeric k(0.0)(h, k)f(x) = x^(2)g(x) = f(x - h) + k
AI Drawing Prompt Reference
Draw a coordinate plane with a parabola as the original function, vertex at the origin, opening upward. Add two adjustable sliders for horizontal and vertical shifts. Then, translate the entire parabola by these shifts to create a second parabola with the same shape but moved accordingly. Clearly distinguish the original and translated curves, and indicate the direction of translation.
The prompt above was compiled from the original drawing commands and is for reference only.