What is the vertex of the graph of f(x) = |x – 13| + 11? a (–11, 13) b (–13, 11) c (11, 13) d(13, 11) which is the correct answer

The vertex is the point at which the graph changes its slope.

That happens when |x - 13| reachs its minimum value.

The  minimum value of the absolute value function is zero

=> |x - 13| = 0 => x - 13 = 0 => x = 13.

And the value of the f(x) is 0 + 11 = 11

Therefore the vertex is (13, 11).

option D (13, 11)