It's not that the rules wouldn't apply, but it does add an extra "variation" to account for in the graph.
You'll rarely see a coefficient other than 1 in a problem like this, but if you do it will affect both the center point of the v, as well as the width.
Here's a great place to try it out...
http://www.coolmath.com/graphit/.
Type in abs( ) for the absolute value part of the function and put whatever you want inside. Go crazy !!