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Write Absolute Value Functions from Graphs

Write Absolute Value Functions from Graphs
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2021-11-12 10:05
FunctionCoordinate GeometryGraphing
This example demonstrates how to write absolute value functions from graphs. Key mathematical concepts include absolute value functions and their graph characteristics. Using GeoGebra commands such as Point, Line, Vector, Polygon, etc., the absolute value function graph can be constructed. Suitable for students from middle school and above.

GeoGebra Commands & Parameters

  1. Point(Segment[(h + 1, y(C) + 10), (h + 1, y(C) - 10)]) → D
  2. Line(A, B) → f
  3. Vector(A, C) → u
  4. Polygon(A, C, B) → t1, b, a_1, c
  5. Segment(A, C) → h_{1}
  6. Vector(C, D) → v
  7. Vector((h, 0), A) → w
  8. Vector((0, 0), (h, 0)) → j
  9. RandomElement({-8, -7, -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8}) → n
  10. Random(-8, 8) → o
  11. Random(-8, 8) → p
  12. If(h ≟ o, "Horizontal shift is correct!", "Horizontal shift is not correct.") → text9
  13. If(n ≟ rise, "Vertical stretch is correct!", "Vertical stretch is not correct.") → text10
  14. If(p ≟ y(A), "Vertical shift is correct!", "Vertical shift is not correct.") → text11
  15. Textfield(s) → InputBox1

AI Drawing Prompt Reference

Draw an absolute value function graph with points A and C, draw a line f through A and C, then draw a vector u from A to C, followed by a quadrilateral t1, b, a_1, c with A, C, and B as vertices, then draw a line segment h_1 from A to C, next draw a vector v from C to D, then draw a vector w from (h, 0) to A, and finally draw a vector j from the origin to (h, 0).
The prompt above was compiled from the original drawing commands and is for reference only.