To find the axis of symmetry of the function f(x) = x^2 - 4x + 6, we can use the formula:
Axis of symmetry (x-value) = -b / (2a)
In this case, the coefficient of x^2 is a = 1, and the coefficient of x is b = -4.
Substituting these values into the formula, we get:
Axis of symmetry (x-value) = -(-4) / (2 * 1) = 4 / 2 = 2
Therefore, the axis of symmetry for the given function is x = 2.