282 6/7 cm^2
by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.
we can recognize in choice d :
y = | x + 3 | - 4 (rewriting in general form)
y = | x - (- 3) | - 4
the "-4 " term means that the graph has been shifted by 4 units in the negative y direction
the "-3 " term means that the graph has been shifted by 3 units in the negative x direction
this matches our observation of the graph described above.