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Exercise 10: Function Graph and Translation

Exercise 10: Function Graph and Translation
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2017-01-07 00:18
FunctionCoordinate GeometryTransformation
In collections LINEAR FUNCTIONS
This example demonstrates the translation of function graphs. Key mathematical concepts include function graphs and translation. Using GeoGebra commands such as Random, RandomElement, and Textfield, dynamic generation of different function graphs and observation of their translation effects are achieved. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → a
  2. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → a_1
  3. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c
  4. Random(-10, 10) → b
  5. Textfield(h) → InputBox1
  6. Random(-10, 10) → b_1
  7. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c_1
  8. Random(-10, 10) → d_1
  9. Textfield(m) → InputBox2
  10. Textfield(f) → InputBox4
  11. Random(-10, 10) → d_2
  12. TableText({{A1_1, B_1, C_1, D_1}, {-3, g(-3), h(-3), f(-3)}, {-2, g(-2), h(-2), f(-2)}, {-1, g(-1), h(-1), f(-1)}, {0, g(0), h(0), f(0)}, {1, g(1), h(1), f(1)}, {2, g(2), h(2), f(2)}, {3, g(3), h(3), f(3)}, {1, e, l, k}}, "|_r") → text3_1

AI Drawing Prompt Reference

Draw a function graph and observe its transformation through translation. First, randomly generate a function in the form of y = a*x + b. Then, apply a translation to create another function y = a_1*(x - c) + b_1. Input the function expression in the text field to see the changes in the graph.
The prompt above was compiled from the original drawing commands and is for reference only.