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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

Convert y=x2−8x+11y = x^2 - 8x + 11 to vertex form.

  • A

    y=(x−4)2+5y = (x-4)^2 + 5

  • B

    y=(x−8)2+11y = (x-8)^2 + 11

  • C

    y=(x+4)2−5y = (x+4)^2 - 5

  • D

    y=(x−4)2−5y = (x-4)^2 - 5

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Explanation

x2−8x+11=(x2−8x+16)−16+11=(x−4)2−5x^2 - 8x + 11 = (x^2 - 8x + 16) - 16 + 11 = (x-4)^2 - 5.

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