The function \(y = |x - 2|\) is an absolute value function. The graph of \(y = |x - 2|\) is a V-shaped graph.

The vertex of the graph is at the point \((2, 0)\) because the expression inside the absolute value, \(x - 2\), equals zero when \(x = 2\).

For \(x < 2\), the graph is a line with a negative slope, \(y = -(x - 2) = -x + 2\).

For \(x > 2\), the graph is a line with a positive slope, \(y = x - 2\).

The graph is symmetric about the vertical line \(x = 2\).