Horizontal and Vertical Translation
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This example demonstrates the horizontal and vertical translation of function graphs. Key mathematical concepts include function transformations. By adjusting parameters, you can observe changes in the function graph. The construction summary mentions objects such as function f, translated function g, horizontal translation object h, and vertical translation object k. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Numeric k(0.0)f(x) = (2 * x)Numeric h(0.0)g(x) = (2 * (x - h))m(x) = (2 * x) + k
AI Drawing Prompt Reference
Draw the function f(x) = 2x, then create a new function g(x) = 2(x - h) + k through horizontal and vertical translations. Start by setting h to 0 and drawing the graph of f(x). Then change h to a non-zero value to see the horizontal shift, and finally change k to a non-zero value to observe the vertical shift.
The prompt above was compiled from the original drawing commands and is for reference only.