It is the graph of y = x translated 8 units down (option C)
Explanation:
The original function: y = x
The new function: y = x - 8
For a function: f(x) = x - d
It shows a vertical translation down d units
This means the y axis willbe moved down d units.
since d = 8, we will move 8 units down
Hence, It is the graph of y = x translated 8 units down (option C)