4.7  Graphs of Absolute Value Equations

Mrs. Agriesti's Algebra

Goal:  To graph absolute value equations.

The graph of an absolute value equation is not a straight line, it forms a V. 

Sketch the Graph:

There is no need to solve for y (it is already by itself).

The absolute value part of the equation is |x - 3|.  Positive 3 would make it equal to 0.  So the x-coordinate of the vertex is 3.  The y-coordinate of the vertex is 5.

Make a table with x = 3 in the middle.  Fill it in.  Show all work.

Notice that I used multiples of 3 for my other x-values,  I did that because of the fraction 2/3.

Now plot the points, use a straight-edge to connect them, and label the graph.