Can you picture the basic "v" shaped graph for y = |x|? This is a simple translation of that graph. The -2 INSIDE the absolute value is a horizontal translation to the right, 2 places. The -5 OUTSIDE the absolute value is a vertical translation 5 units down.
The original parent function has its vertex at (0,0). The new vertex would be 2 places to the right, and down 5 places, so at (2,-5).