Mathematics (2019) Grade(s): 09-12 - Precalculus
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.
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).
