Question

What is the vertex of the graph of f(x) = |x + 5| – 6?

(–6, –5)
(–6, 5)
(–5, –6)
(5, –6)

Answer 1

The vertex is at x where the absolute value's inside is zero: x + 5 = 0 → x = -5.
f(-5) = |0| - 6 = -6.

So the vertex is (–5, –6).