Transformations of the Basic Family of FunctionsIn this activity you will use a slider to change the basic (parent) functions. You will be able to change value of the sliders a_{0}, a_{i}, h, and k to transform the function by moving these sliders. The r_{0} and r_{i} allow your to reflect outside and inside of the function change you results. There are two check boxes to permit the user to easily demonstrate the results of a vertical or horizontal line test. The a_{0} and the a_{i} represent the effects of multipliers outside of the function f(x) and inside the parenthesis of f(x), sometimes these multipliers when used separately produce the same graph. When a_{0} or a_{i} are zero, the resulting graph is a constant function. Video Demo g(x) = a_{o} f(a_{i} x – h) + kUse these handouts as a guide to analyse the included functions.
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