Functions

Functions

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Transformations of Functions  math \begin{tabular}{|c|c|c|} \hline Transformation & Horizontal & Vertical \\ \hline Shift & $f(x+a)$ & $f(x)+a$ \\ \hspace{.25in} & $a>0$, move left & $a>0$, move up\\ \hspace{.25in}& $a<0$, move right & $a<0$, move down\\ \hline Reflection & $-f(x)$ & $f(-x)$ \\ \hline Stretch/Compress & $f(ax)$, & $af(x)$\\ \hspace{.25in}& $a>0$,by a factor of $\displaystyle\frac{1}{a},closer to y axis &$a>0$, by a factor of a, further away from the x axis\\ \hspace{.25in}& $0 \hline \end{tabular} math

More on Horizontal/ Vertical Stretching and Compression media type="custom" key="7014519" media type="custom" key="7014521" 

Quadratic Functions - [|Geogebra Applet Investigation]

