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Sawyer Woods
Mathematics
20 April, 17:16
Rewrite the function by completing the square.
f (x) = x^2 + 14x + 8
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Xander Odom
20 April, 17:37
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f (x) = (x + 7) ^2 - 41
Step-by-step explanation:
f (x) = x^2 + 14x + 8
We take half of the coefficient of the x-term and square it.
Half of 14 is 7. 7 squared is 49. We add 49 to complete the square, but we then must subtract it at the end to not change the value of the function.
f (x) = x^2 + 14x + 49 + 8 - 49
f (x) = (x + 7) ^2 - 41
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