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Quadratic Function Graph by STEP - המראה

Quadratic Function Graph by STEP - המראה
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2017-11-19 23:48
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the graph of a quadratic function. Key mathematical concepts include quadratic functions, vertex, and axis of symmetry. Using GeoGebra commands such as Line, Point, OrthogonalLine, and Intersect, the graph of a quadratic function can be constructed. Suitable for students in middle school and above to learn about quadratic functions.

GeoGebra Commands & Parameters

  1. Line(C, xAxis) → i
  2. Line(D, i) → j
  3. Point(i) → E
  4. OrthogonalLine(E, i) → k
  5. Intersect(j, k) → F
  6. Textfield(b) → InputBox1
  7. Point(i) → H
  8. OrthogonalLine(H, i) → l
  9. Point(l) → I
  10. OrthogonalLine(I, l) → q
  11. Point(l) → J
  12. OrthogonalLine(J, l) → r
  13. Point(q) → L
  14. OrthogonalLine(L, q) → s
  15. Intersect(s, r) → M
  16. Polygon(I, L, M, J) → poly1, i_1, l_1, m_1, j_1
  17. Intersect(i, l_1) → N
  18. Intersect(j, l_1) → O
  19. Intersect(j_1, j) → P
  20. Segment(H, N) → t_1
  21. Segment(P, O) → c
  22. Intersect(d, i_1) → Q
  23. Intersect(m_1, d) → R
  24. Segment(Q, R) → e
  25. Textfield(t) → InputBox4
  26. Textfield(a) → InputBox5
  27. Textfield(a_1) → InputBox6
  28. Textfield(text2) → InputBox2
  29. Polygon((0, 0), (0, 100), (20, 100), (20, 0)) → q1, f_1, g_1, h_1, k_1
  30. Textfield(text3) → InputBox3

AI Drawing Prompt Reference

Draw a geometric construction of a quadratic function graph. Start with a horizontal line as the x-axis)Skip, then draw a parallel line above it. Pick a point on the x-axis and draw a perpendicular line up to the parallel line, forming a rectangle. Pick another point on the x-axis, draw a perpendicular, then on that perpendicular pick a point and draw a horizontal line, creating another set of perpendicular and horizontal lines that intersect to form a rectangle. Connect relevant points with segments. Include input boxes for parameters. The overall figure shows the quadratic curve with its vertex and axis of symmetry.
The prompt above was compiled from the original drawing commands and is for reference only.