Check the graph below, please.
1) Note that this absolute value g(x)=|x|-6 is shifted down 6 units.
2) Let's set a t-table and pick random values for x and plug them into the function to get the values of y:
From this table, we can extract the following points (-1,-5), (0,-6), (1,-5), (-2,-4) and (2,-4)
2) So now, let's plot them considering that the vertex is located at (0-6) when x is equal to zero: