@themattsimpson @narmno Finding the minmax of a quadratic doesn't take calculus. Lots of ways: eg halfway between the intercepts.
@themattsimpson @narmno completing the square: if y = a(x - b)^2 + c then the minimum is at x = b.
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@themattsimpson @narmno completing the square: if y = a(x - b)^2 + c then the minimum is at x = b.