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Quadratic Function Graph by Becky Ham

Quadratic Function Graph by Becky Ham
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2016-07-19 02:33
FunctionCoordinate GeometryGraphing
This example demonstrates the graph of a quadratic function. Key mathematical concepts include the properties and graph of quadratic functions. Using the GeoGebra commands from the construction summary, it is clear that the example utilizes functions, quadratic functions, points, and lines. Suitable for high school mathematics education and students learning quadratic function graphs.

GeoGebra Commands & Parameters

  1. Numeric a(1.0)
  2. Numeric b(-3.0)
  3. Numeric c(1.0)
  4. f(x) = (a * x^(2)) + (b * x) + c
  5. ((-b)) / ((2 * a))
  6. f(x1)
  7. (x1, y1)
  8. x = x1
  9. Boolean d(true)
  10. Boolean e(true)

AI Drawing Prompt Reference

Draw the graph of a quadratic function y=ax^2+bx+c, where a=1.0, b=-3.0, and c=1.0. First, plot the function graph. Then, find the x-coordinate of the vertex, calculate the y-coordinate, plot the vertex, and draw the tangent line at the vertex.
The prompt above was compiled from the original drawing commands and is for reference only.