The graph of the quadratic function y = a x 2 + b x + c has a minimum turning point when a> 0 and a maximum turning point when a a <0. The turning point lies on the line of symmetry.

So the graph of y = x 2 6 x + 4 has a line of symmetry with equation x = 3 and a minimum turning point at (3, -5). When x = 0, y = 4. So the graph crosses the y -axis at (0, 4).

Graph distinguishing numbers constitute a vital parameter in understanding the symmetry properties of graphs. Fundamentally, the distinguishing number of a graph is the minimal number of labels ...