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Parabola - Standard Form - Discovery

Parabola - Standard Form - Discovery
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2016-02-12 00:56
FunctionCoordinate GeometryGeometric Construction
This example allows students to manipulate the axis of symmetry, y-intercept, and vertex of a parabola to explore its properties. Key mathematical concepts include parabolas, function graphs, and geometric construction. Using GeoGebra commands such as c, k, x_1, a, A, b, f, B, p, m, text1, text2, students can visually understand the transformation rules of parabolas. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Numeric c(3)
  2. Numeric k(2)
  3. Numeric x_1(1)
  4. (c - k) / x_1^(2)
  5. (x_1, k)
  6. x = x_1
  7. f(x) = (a * (x - x_1)^(2)) + k
  8. (0, c)
  9. ((-2 * a) * x_1)
  10. (a * x_1^(2)) + k