8.6 Absolute Value Functions

Ex 1 Graph y = |x| by graphing y = x and then interpreting what the absolute value does to the graph.

In y = a|x – c| + d, a, c, d do the usual things

but in y = |bx|, b does almost the same thing as a

Consider y = 2|x| vs y = |2x|

y = 2|x| is y = |x| with a vertical stretch of 2

y = |2x| the absolute value of y = 2x, which has a vertical stretch of 2