Graphical details of changing functions

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I'm struggeling a bit with the transformations of a function when values are changed (for instance an offset to the right etc).

So far I have found the following: http://www.drcruzan.com/Images/TransformationEquation.png

Are there more transformations that I should look into? Any recommended sites, where aI can see them graphically?

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The simplest transformations of the graph $y=f(x)$ are these:

$y=f(x+a)$ moves $a$ units in the negative $x$ direction

$y=f(x)+a$ moves $a$ units in the positive $y$ direction

$y=f(ax)$ scales by a factor $1/a$ about the $y$-axis

$y=af(x)$ scales by a factor $a$ about the $x$-axis

$y=f(-x)$ reflects about the $y$-axis

$y=-f(x)$ reflects about the $x$-axis

$y=f^{-1}(x)$ reflects about the line $y=x$ (if the inverse exists)

$y=\left|f(x)\right|$ reflects the negative parts of $f(x)$ about the $x$ axis

$y=f(\left|x\right|)$ reflects the half of the graph with negative $x$ about the $y$ axis