>Since my calculus students will have graphers, is it the >consensus that I should stop teaching my precalculus >students such tricks to aide graphing as shifting & stretching >functions and symmetry? I'd love to stop teaching this, because it >would free time for other "essential" topics, which I do not >get to. > >Bill Larson >Geneva
We should still teach the concepts but maybe with the aid of the graphing calculator.
That is, given y=a+b*f(c*x+d), kids still need to know that varying a, b, c, and d cause predictable changes in the graph of f.