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it then asked for the minimum points of the graph y=x^2 + 10x + 19. which is what i made into (X+5)-6.

I know i have to take the +5 and change its sign to -. and that's the minimum of X. and the -6 without change is the minimum of Y.

I just wondered, can anyone explain to me why this is so?

Furthermore, what would I do if it asked for a maximum. I would show an attempt, but i don't even understand why this is a minimum so it's hard for me to find out the maximum.

( this isn't actually a question I'm just interested.)

thanks :P