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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Convert y=2x2−12x+7y = 2x^2 - 12x + 7 to vertex form.

  • A

    y=2(x−6)2−11y = 2(x-6)^2 - 11

  • B

    y=2(x−3)2−11y = 2(x-3)^2 - 11

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  • C

    y=2(x−3)2+11y = 2(x-3)^2 + 11

  • D

    y=(x−3)2−11y = (x-3)^2 - 11

Explanation

y=2(x2−6x)+7=2(x2−6x+9)−18+7=2(x−3)2−11y = 2(x^2 - 6x) + 7 = 2(x^2 - 6x + 9) - 18 + 7 = 2(x-3)^2 - 11.

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