Find the x-coordinate of the vertex of the graph of the equation y=-3x^2+6x+2

Consider, pls, this solution:
according to the equation y= -3x²+6x+2, where a=-3, b=6 and c=2, and the rule x₀= -b/(2a):
x₀=-6/(-6)=1.
For more info see the attached graph.

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