Answer: The correct option is
(B) The vertex is (6, 3), and the axis of symmetry is x = 6.
Step-by-step explanation: We are given to find the vertex and the axis of symmetry of the graphed quadratic equation.
From the graph, we see that the graphed quadratic function is a parabola, which open downwards and maximum point is (6, 3).
So, the vertex of the parabola is at (6, 3).
Now, the axis of symmetry will be a line passing through the vertex and parallel to the Y-axis.
That is, x = k.
Since the axis of symmetry passes through the vertex (6, 3), so we get
x = 6.
Thus, the vertex is (6, 3), and the axis of symmetry is x = 6.
Option (B) is CORRECT.