Absolute value graphs are linear representations of absolute value functions. These equations are always expressed within absolute value bars. Here is an example:
Taking the absolute value of a number or equation cancels out its negative signs. Even though there is a -1 in the equation above, the x-intercept would be (1,0) since anything within absolute value bars becomes positive.
When graphing absolute value equations, the shape will either be an upright or upside-down V. The point where the "V" meets represents the vertex of the graph. Let's create a graph of the absolute value function above:
From this graph, we can determine that the vertex of this equation is (1,0), the y-intercept is (0,2), and the graph opens upward.