SOLUTION: how to convert (x+1)(3-x) into a vertex function

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Question 1109841: how to convert (x+1)(3-x) into a vertex function
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Complete The Square.

%28x%2B1%29%283-x%29
%28-1%29%28x%2B1%29%28x-3%29
-1%28x%5E2-2x-3%29
Add and subtract %282%2F2%29%5E2=1 INSIDE the parentheses.

-1%28x%5E2-2x%2B1-1-3%29

-1%28x%5E2-2x%2B1-4%29
-1%28%28x-1%29%5E2-4%29

highlight%28-%28x-1%29%5E2%2B4%29
Vertex is a maximum point, at (1,4).