A vertex is a point where two or more lines meet.
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It usually means a straight line going from one vertex of a polygon, polyhedron (or a shape in more dimensions) to another vertex. More generally any line between the 'X' or 'Y' axes on a graph
A cube for example has 12 edges, 6 faces and 8 vertices which is the plural of vertex
A vertex is the highest or lowest point in a parabola.
It is a 'corner' of a polygon.
If you mean: y = x^2 -6x +6 then the vertex is at (3, -3)