What happens to an absolute value graph if $|x|$ has a coefficient I skipped Algebra I in school, and we have Mathematics midterms next week. While going through our review packet, I noticed graphing absolute values, something I had never seen before.
I've figured out the basics: $|x+n|$ translates the graph $n$ units along the x axis, $|x|+d$ translates the graph $d$ units along the y axis, and $-|x|$ flips the graph so it opens downward.
What happens, however, if we have $a|x|$, or $|ax|$? Is there an easy short hand way to draw this, or do I have to make a chart of the points and graph them one by one?

For starters,
$$|ax|=|a||x|=\begin{cases}+|a|x;&x\ge0\\-|a|x;&x<0\end{cases}\implies\text{slope is }\pm a$$
which is just a taller or shorter $V$ shaped graph.
