Find the vertex of the given function. f(x) = |x + 1| - 7

 The vertex of the function is (-1, -7).

Step-by-step explanation:  We are given to find the vertex of the following function.

We know that the vertex of the function is given by

(h, k).

So, for the given function f(x), the vertex will be (-1, -7).

The graph of the function f(x) is shown in the attached figure, where the vertex is at the point (-1, -7).

Thus, the vertex of the function is (-1, -7).