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Equivalent Expressions

SAT Math· difficulty 4/5

Which expression is equivalent to y=−3(x−1)2+7y = -3(x - 1)^2 + 7?

  • A

    y=−3x2+6x+7y = -3x^2 + 6x + 7

  • B

    y=−3x2+6x+10y = -3x^2 + 6x + 10

  • C

    y=−3x2+6x+4y = -3x^2 + 6x + 4

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  • D

    y=−3x2−6x+4y = -3x^2 - 6x + 4

Explanation

−3(x−1)2+7=−3(x2−2x+1)+7=−3x2+6x−3+7=−3x2+6x+4-3(x - 1)^2 + 7 = -3(x^2 - 2x + 1) + 7 = -3x^2 + 6x - 3 + 7 = -3x^2 + 6x + 4.

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