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Graphing Quadratic Equations in Vertex Form

Graphing Quadratic Equations in Vertex Form
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2017-12-28 00:25
FunctionCoordinate GeometryGraphing
In collections Algebra 1
This example demonstrates how to graph quadratic equations in vertex form. Key mathematical concepts include quadratic functions, vertex form, and image transformations. It uses GeoGebra commands such as Shuffle, Sequence, and Join for construction. Suitable for students in middle school and above to learn how to graph quadratic equations.

GeoGebra Commands & Parameters

  1. Shuffle(Flatten[Sequence[Sequence[(a, b), a, -5, 5], b, -5, 5]]) → VRTX
  2. Sequence((x(V), a), a, -10, 10) → L_2
  3. Sequence((a, y(V)), a, -10, 10) → L_1
  4. Join({L_1, L_2}) → L_3
  5. Remove(L_3, {V}) → L_4
  6. Remove(L_4, {V}) → L_5
  7. Remove(VRTX, L_5) → L_6
  8. Remove(L_6, {V}) → L_7
  9. Shuffle(L_7) → PT
  10. Simplify(f) → g
  11. Simplify((y(P) - y(V)) / (x(P) - x(V))^(2)) → p
  12. Simplify(x - x(V)) → q