Question

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

Answer 1

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

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

$f(x)=|x+1|-7.$

We know that the vertex of the function $f(x)=|x-h|+k$ 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).

Answer 2

The vertex is (-1, -7).