Suggestion

Plot of a parabola.

The equation of this graph is \(y = x^2 - 8x + 10\)

Is this graph symmetrical? Are you convinced? How can you convince someone else?

How would you define symmetrical in this context?

If the graph has a line of symmetry, what is it? How can we use this idea?

Does the graph look similar to any other graph you know? How can we use this idea?