MA19.PRE.30

Identify the effect on the graph of replacing $f(x)$ by $f(x) + k$, $k \cdot f(x)$, $f(k \cdot x)$, and $f(x + k)$ for specific values of $k$ (both positive and negative); find the value of $k$ given the graphs. Extend the analysis to include all trigonometric, rational, and general piecewise-defined functions with and without technology.

COS Examples

Example: Describe the sequence of transformations that will relate y=sin(x) and y=2sin(3x).