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Equivalent Expressions

SAT Math· difficulty 3/5

Which form of y=x2−6x+5y = x^2 - 6x + 5 reveals the vertex?

  • A

    y=(x−6)2+5y = (x - 6)^2 + 5

  • B

    y=(x−3)2−4y = (x - 3)^2 - 4

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  • C

    y=(x+3)2−4y = (x + 3)^2 - 4

  • D

    y=(x−3)2+5y = (x - 3)^2 + 5

Explanation

Completing the square: x2−6x+5=(x2−6x+9)−9+5=(x−3)2−4x^2 - 6x + 5 = (x^2 - 6x + 9) - 9 + 5 = (x - 3)^2 - 4.

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