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1.
If you are given two points on a parabola (or a circle for that matter) with the same y-coordinate, the average of those points x-coordinates is the vertex (or the circle's center, respectively) x-coordinate.
2.
For y=ax^2+bx+c: vertex x=-b/(2a).
3.
For y=a(x-k)^2+h: vertex is in (k, h).
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