Answer:
Option B will be the correct one.
Step-by-step explanation:
See the attached graph.
Here, the graph of f(x) = |x - 7| - 3 is plotted.
Now, from the definition of the absolute value function
f(x) = x - 7 - 3 = x - 10, for x ≥ 7 ............ (1) and
f(x) = - x + 7 - 3 = - x + 4, for x < 7 ............. (2)
Now, for x ≥ 7, the plotted graph passes through the points (7,-3) and (10, 0) and equation (1) satisfies the points.
Again, for x < 7, the plotted graph passes through the points (4,0) and (0,4) and equation (2) satisfies the points.
Hence, option B will be correct one.