SOLUTION: Completing the square y=16-x-x^2

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Question 983269: Completing the square
y=16-x-x^2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y=16-x-x%5E2....rearrange the terms
y=-x%5E2-x%2B16
y=-%28x%5E2%2Bx%29%2B16
y=-%28x%5E2%2Bx%2B_%29-%28-1%29%2A_%2B16.....coefficient a=1 and 2ab=1=>2%2A1%2Ab=1=>b=1%2F2
y=-%28x%5E2%2Bx%2B%281%2F2%29%5E2%29-%28-1%29%281%2F2%29%5E2%2B16
y=-%28x%5E2%2Bx%2B1%2F4%29%2B1%2F4%2B16
y=-%28x%2B1%2F4%29%5E2%2B1%2F4%2B64%2F4
y=-%28x%2B1%2F4%29%5E2%2B65%2F4