Three Forms of Quadratic Functions

Three Forms of Quadratic Functions
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2019-09-10 13:54
This example demonstrates the three forms of quadratic functions: standard form, vertex form, and intercept form. By adjusting parameters, you can observe the transformation relationships between different forms. Key mathematical concepts include the properties of quadratic functions, vertex, roots, and the relationship between coefficients and the graph. GeoGebra commands used include Intersect, Midpoint, OrthogonalLine, LineBisector, and Vertex. Suitable for high school math education and students learning quadratic functions.

GeoGebra Commands & Parameters

  1. Intersect(d, xAxis, 2) → x_1
  2. Intersect(d, xAxis, 1) → x_2
  3. Midpoint(x_1, x_2) → A
  4. OrthogonalLine(A, xAxis) → g
  5. Intersect(h_1, xAxis) → C, D
  6. LineBisector(D, C) → a
  7. Intersect(h_1, a) → E, H
  8. Intersect(r, xAxis) → F, G
  9. LineBisector(F, G) → j
  10. Vertex(r) → J, , ,
  11. Vertex(d) → B, , ,
  12. Vertex(d_1) → B_1, , ,