Absolute value functions

y = a | x - h | + k , this is the formula for a absolute value graph. the parent graph (y = |x|) looks like this:

if you wish to move the graph to the left or the right you manipulate the h value, since in the formula the h is negative you move the graph opposite of the sign, as shown below.

to move the graph up and down the y-axis you change the k value.

To strech and shrink the graph you change the a value, if a is a fraction then the graph is vertically streched, and if the graph is vertically shrinked then the coeficcient is a whole number.

To invert the graph you make a negative.