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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Convert y=−x2+4x−1y = -x^2 + 4x - 1 to vertex form.

  • A

    y=−(x−2)2+3y = -(x-2)^2 + 3

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  • B

    y=(x−2)2+3y = (x-2)^2 + 3

  • C

    y=−(x−2)2−3y = -(x-2)^2 - 3

  • D

    y=−(x+2)2+3y = -(x+2)^2 + 3

Explanation

y=−(x2−4x)−1=−(x2−4x+4)+4−1=−(x−2)2+3y = -(x^2 - 4x) - 1 = -(x^2 - 4x + 4) + 4 - 1 = -(x-2)^2 + 3.

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