How to Graph Absolute Value Equations

The format for an absolute value equation is y=a|x-h|+k, where the vertex is (h,k).

• "a" in the equation determines weather the graph (which is shaped like a "V") opens up or down. For example, if "a" is negative, then the graph will open downwards (the "V" would be upside-down). "a" is similar to the slope except with "a"  you would go up and right, then up and left, or if "a" is negative, down and right and then down and left. You're basically reflecting the same points over the axis of symmetry (the line that goes through the middle of the graph).

• "h" moves the graph to the left or right opposite of the sign given. So, if the sign is positive, then the graph moves to the left.

• "k" moves the graph up or down corresponding with the sign. For example, if the sign is negative then the graph moves down.