A12a – Graphs of linear functions, quadratic functions, simple cubic functions, and the reciprocal function

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Graphs of linear functions, quadratic functions, simple cubic functions, and the reciprocal function

Note: linear graphs are covered in lesson A9a, so this lesson focuses on quadratic, cubic and reciprocal graphs.

Interactive GeoGebra activity: the general quadratic and cubic curves

The general quadratic in \(x\) may be expressed in the form \(ax^{2}+bx+c\) and the general cubic in \(x \) may be expressed in the form \(ax^{3}+bx^{2}+cx+d\), where \(a, b, c,\) and \(d\) (in the case of the cubic) are constants. Adjust the sliders to see how changing each of \(a, b, c,\) and \(d\) impacts the shape of the curve. Use your mouse’s scroll function to zoom in and out. Hit the reset button in the top corner to return the activity to its original state.

In the real world

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