Parabola Investigation

Parabola Investigation
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2017-12-29 21:13
This example demonstrates the geometric properties and function graph variations of a parabola. It involves core mathematical concepts such as quadratic functions, derivatives, optimization, and statistical characteristics. Constructed using GeoGebra commands like Intersect and Extremum, with objects including a, b, c, f, h, k, g, p, q, j, A, B, C, D, E, F, G, H, I, J, K, L. Suitable for high school mathematics education to understand function properties and practical applications.

GeoGebra Commands & Parameters

  1. Intersect(f, xAxis) → A, B
  2. Intersect(g, xAxis) → C, D
  3. Intersect(j, xAxis) → E, F
  4. Extremum(f) → G
  5. Extremum(g) → H
  6. Extremum(j) → I
  7. Intersect(f, yAxis) → J
  8. Intersect(g, yAxis) → K
  9. Intersect(j, yAxis) → L