Final answer:
The vertex of the quadratic equation f(x) = (x - 2)² + 6 is (2, 6). The equation of the axis of symmetry is x = 2.
Step-by-step explanation:
The given equation is in the form f(x) = (x - 2)² + 6. The vertex form of a quadratic equation is given as f(x) = a(x - h)² + k, where (h, k) represents the coordinates of the vertex. In this case, the vertex is (2, 6).
The equation of the axis of symmetry can be found by taking the x-coordinate of the vertex. So, the equation of the axis of symmetry is x = 2.