This section contains documents created from scanned original files and other
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symbol is used to denote such documents.
Methods for changing a function to shift it left, right, up, or down. Includes three examples.
Ways to stretch or shrink a function by changing the expression used to define it, with an example.
How to reflect a function across either of the coordinate axes, including definitions for even and odd functions. Rules for the behavior of even and odd functions are given, along with examples.
Graphs of the sine, cosine, and tangent functions, including definitions of periodicity and the general sinusoidal wave, with examples.
Reflecting a graph across the line y=x to create an inverse function. Includes examples and discussion of the need to restrict the domain of the inverse function in some cases.
Graphing a function and finding its asymptotes, maxima, minima, inflection points, and regions where the graph is concave up or concave down.
Nine questions involving translation, change of scale, even functions, odd functions, inverses, and trigonometric functions.