he parameter h is the extremal point of the quadratic. The extremum happens when x=h, when the function (x−h)2 is minimized (or −(x−h)2 maximized). So the reason for the minus sign is because x=h is equivalent to x−h=0.
Just remember that when it comes to vertex form and parabola transformations a negative h means shift right and positive h left. We anumberd to the number lgraphbitself itself having negative integers on left and positive on right and I can see why this throws people off.
Step-by-step explanation:
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