The graph is attached below and the steps in order to graph this equation is located in the work box.
Work Step by Step
In order to graph this, we first graph the equation y=x+2 using the slope (1) and the y-intercept (0,2). Then we reflect the graph that is to the right of the origin over the positive x-axis because of the negative absolute value of x. The negative absolute value of x makes the x value negative when finding the y-value. Even if you plug in a positive x-value, it will turn negative after coming out of the negative absolute value bars and contribute negatively towards the y-value.