The graph of $y = ax^2 + bx + c$ has an axis of symmetry of $x = 2.$ If $(4,7)$ lies on the graph, find another point on the graph.
The axis of symmetry is 2
If (4,7) lies on the graph then (2 + 2 , 7) = (4, 7)
So
(2 - 2, 7) = (0, 7) also lies on the graph