Stage: 4 and 5 Challenge Level: 
Sketch the graph of the cubic $y=x^3$ which has a point of
inflection at the origin. Think about the effects of transforming
this graph by translating it parallel to the axes and reflecting
it.
Quadratic functions. Graph plotters. Graphical calculators. Maximise/minimise/optimise. Graphs. Inequality/inequalities. Transformation of functions. Discussion. Gradients. Cubic functions.
Published October 2001.
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