What is the vertex of f(x) = |x + 8| - 3?

Solution:

Given function is

f(x) = |x + 8| - 3

We know the vertex form equation f(x) = a(x - h)² + k where (h, k) is the vertex.

f(x) = |x - (-8)| + (-3)

Here, by comparing with the standard equation, a = 1, h = -8 and k = -3

Therefore, the vertex is (-8, -3)

What is the vertex of f(x) = |x + 8| - 3?

Summary:

The vertex of f(x) = |x + 8| - 3 is (-8, -3).