Quadratic Match: Identify Parabolas by Inputting Coefficients

Quadratic Match: Identify Parabolas by Inputting Coefficients
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2018-10-17 15:20
① This interactive matching game demonstrates how to identify a given parabola by entering the coefficients a, b, c of a quadratic function y = ax² + bx + c. ② Core mathematical concepts include the graphical features of quadratic functions—opening direction, vertex, axis of symmetry, and intercepts—along with related ideas from linear functions, piecewise functions, and equations. ③ Construction highlights: GeoGebra commands Random and RandomElement generate a random target function; Textfield and InputBox1 allow user input; button1 triggers the matching check; lists list1 and list2, along with text objects text1, text2, text3 provide feedback; objects include k, h, V (vertex), a, b, g, A, and f. ④ Suitable for middle and high school students, this activity serves as classroom practice or self-study, helping learners intuitively grasp how coefficients shape parabolas and strengthening the connection between algebra and geometry.

GeoGebra Commands & Parameters

  1. Random(-5, 10) → k
  2. Random(-3, 6) → h
  3. RandomElement(list1) → a
  4. RandomElement(list2) → b
  5. Textfield(f) → InputBox1

AI Drawing Prompt Reference

Draw a parabola with vertex at point (h, k), where h and k are randomly generated integers between -3 and 6, and -5 and 10, respectively. Users need to input the coefficients a and b through the input box to match the given parabola. First, generate random values for a and b, then display the input box for user input, and finally check if the user's input is correct.
The prompt above was compiled from the original drawing commands and is for reference only.