Question

Does the Function f(x)=x^2-2x+2 have a minimum or maximum value ?

Answer 1

yes at x=1 it has a minimum.

Answer 2

i think parabolas always have minimums or maximums?

Answer 3

yeah they do, but not both.

Answer 4

So is it minimum ?

Answer 5

yes. When a parabola is positive i.e. y=x^2, you get a minimum. If it were negative so y=-x^2 you would get a maximum.

Answer 6

thanks

Answer 7

no problem