Parabola through 2 Points

Parabola through 2 Points
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2017-09-14 03:04
This example demonstrates how to determine the equation and graph of a parabola using two points. Key math concepts include parabola equation, vertex coordinates, and the geometric meaning of parameter a. Construction highlights the use of GeoGebra commands like Point, variables (x1, y1), Vertex, parameter (a), and Parabola. Suitable for high school coordinate geometry teaching and learning, helping students understand the basic properties and construction methods of parabolas.

GeoGebra Commands & Parameters

  1. Numeric x1(2)
  2. Numeric y1(4)
  3. (x1, y1)
  4. Numeric h(0)
  5. Numeric k(0)
  6. (h, k)
  7. (y1 - k) / (x1 - h)^(2)
  8. y = (a * (x - h)^(2)) + k