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Quadratic Functions: Vertex Form

Quadratic Functions: Vertex Form
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2015-09-20 02:59
FunctionCoordinate GeometryGraphing
This example demonstrates the vertex form of quadratic functions y=a(x-h)^2+k, showing how changing the dilation factor 'a', vertex x-coordinate 'h', and vertex y-coordinate 'k' affects the graph. Key math concepts include quadratic functions, vertex coordinates, and scaling factors. Constructed using GeoGebra commands like k, a, h, f, V, Y, X2, X1, A, text1. Ideal for high school mathematics education to understand the impact of parameters on function graphs.

GeoGebra Commands & Parameters

  1. Numeric k(0.0)
  2. Numeric a(1.0)
  3. Numeric h(0.0)
  4. f(x) = (a * (x - h)^(2)) + k
  5. (h, k)
  6. (0, (a * h^(2)) + k)
  7. (sqrt(((-k)) / a) + h, 0)
  8. ((-sqrt(((-k)) / a)) + h, 0)
  9. Point A(-3.0, -1.0)