Using the function f⁡(x)=2⁢x^2−8⁢x+6 , if one point on the graph is (0,6) and the line of symmetry is at x=2 , what is the point symmetric to (0,6) relative to the axis of symmetry?

The axis of symmetry is the vertical line x = 2. The point (0, 6) is 2 units to the left of this line, so its symmetric point must be 2 units to the right, at x = 4, with the same y-coordinate. The reflected point is (4, 6), choice D.

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