Question 745603
Complete the square as an aid in graphing: SHOW ALL WORK 
y = -x^2 + 4x + 1
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y = -(x^2 -4x+ ?)+1 + ?
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y = -(x^2 - 4x + ?) +1 + ?
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y = -(x^2-4x+4) 1 + 4
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y = -(x-2)^2 + 5
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Vertex at (2,5)
Opening downward because of the "-" coefficient on (x-2)^2
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{{{graph(400,400,-10,10,-10,10,-x^2+4x+1)}}}
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Cheers,
Stan H.