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Solution:
Given, f(x) = |x + 5| - 6
We have to find the vertex of the graph of f(x).
The absolute value equation has the form f(x) = a|x - h| + k
Where, (h, k) is the vertex.
Here, h = -5
k = -6
Therefore, the vertex of the graph is (-5, -6).
Summary:
The vertex of the graph of f(x) = |x + 5| - 6 is (-5, -6).