Question 213988
Determine the vertex of each function by completing the square. 

y= 8x^2 + -14x + -72 
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Rewrite:
8x^2 - 14x = y + 72
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8(x^2 - (7/4)x + ?) = y + 8?
Complete the square:
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8(x^2 - (7/4)x + (7/8)^2)) = y + 8(7/8)^2
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8(x-(7/8))^2 = y + +8*(49/64)
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8(x-(7/8))^2 = y + (49/8)
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Vertex: ((7/8) , (-49/8))
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Cheers,
Stan H.