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y=ax^2: Observe the Effect of Variable a on the Parabola

y=ax^2: Observe the Effect of Variable a on the Parabola
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2014-07-16 09:05
FunctionTransformationSlider Animation
In collections Graphing quadratic equations
Move the slider to change the value of a and observe how it alters the parabola. This example demonstrates the effect of the parameter a in the quadratic function y=ax^2, involving the core mathematical concept of the properties of quadratic functions. It utilizes GeoGebra's slider animation feature. Suitable for students at the junior high school level and above to learn about the transformations of quadratic function graphs.

GeoGebra Commands & Parameters

  1. Numeric a(0.0)
  2. y = (a * x^(2))

AI Drawing Prompt Reference

Draw the graph of the quadratic function y=ax^2, where a is a variable parameter. Observe how the graph changes by adjusting the value of a using the slider.
The prompt above was compiled from the original drawing commands and is for reference only.