Interactive Practice: Parabolas in Vertex Form with Dynamic Verification

Interactive Practice: Parabolas in Vertex Form with Dynamic Verification
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2021-05-24 22:24
This GeoGebra example demonstrates the vertex form of quadratic functions y = a(x-h)² + k through interactive practice. Students input parameters a, h, k via textfields while the system generates random target parabolas for them to match. The construction utilizes GeoGebra commands including Textfield for input, Random for generating values, AreEqual for verification, and Mirror for geometric transformations. Key objects include inputa/inputh/inputk input fields, correcta/correcth/correctk validation checkers, and solutiontext for displaying answers. Ideal for middle school quadratic function lessons, high school function graphing analysis, and students practicing conversion between vertex and standard forms.

GeoGebra Commands & Parameters

  1. Textfield(kStud) → inputk
  2. Random(-7, 7) → kGiven
  3. Textfield(hStud) → inputh
  4. Random(-7, 7) → hGiven
  5. RandomElement(yPList) → yP
  6. RandomElement(xPList) → xP
  7. Textfield(aStud) → inputa
  8. Corner(5) → dims
  9. AreEqual(inputa, aGiven) → correcta
  10. AreEqual(inputh, hGiven) → correcth
  11. AreEqual(inputk, kGiven) → correctk
  12. Mirror(R1, yAxis) → R2
  13. Mirror(R2, xAxis) → R3
  14. Mirror(R3, yAxis) → R4
  15. Polygon({R1, R2, R3, R4}) → q1

AI Drawing Prompt Reference

Draw a parabola in vertex form, adjusting parameters a, h, and k to match a randomly generated target parabola. Use input fields inputa, inputh, and inputk to enter parameters, and correcta, correcth, and correctk to verify the inputs. Draw the parabola and perform mirror transformations to form a quadrilateral q1.
The prompt above was compiled from the original drawing commands and is for reference only.