Question

What's the minimum or maximum value of the function f(x) = x2 - 6x + 3.

Answer 1

minimum is the second coordinate of the vertex.
first coordinate is always \(-\frac{b}{2a}\) in your example \(-\frac{-6}{2\times 1}=3\)
replace \(x\) by 3 and see what you get

Answer 2

Would it be -6?

Answer 3

bingo!

Answer 4

Thank you