Horizontal Stretching

Horizontal Stretching
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2020-02-03 11:17
This example demonstrates the horizontal stretching of function graphs. Key mathematical concepts include function transformations and image transformations. Using commands like Extremum and Intersect, specific properties of function graphs can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Extremum(g, -5, 5) → A, B,
  2. Extremum(f, -5, 5) → D, E,
  3. Intersect(g, x = 0) → G

AI Drawing Prompt Reference

Draw a function graph and demonstrate its horizontal stretching effect. Mark the extrema of both functions within the range of -5 to 5, then find the intersection of one function at x=0. Clearly show the comparison of the function graph before and after stretching, highlighting key features during the transformation process.
The prompt above was compiled from the original drawing commands and is for reference only.