The third graph is the correct answer.
The general form of an absolute value function is f(x ) = a|x – h| + k, where the value of a determines whether the graph opens up or down. Since a = 1, then the graph opens upward. The vertex is represented by (h, k).
The vertex of y = |x - 5| - 4 is (5, -4). It is the lowest/minimum point in the graph. If you look at the given graphs, the third option reflects the vertex value of (5, -4).
