Nonlinear Functions

SAT Math· difficulty 4/5

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

  • A

    y=2(x1)23y = -2(x-1)^2 - 3

  • B

    y=2(x1)2+3y = 2(x-1)^2 + 3

  • C

    y=2(x1)2+3y = -2(x-1)^2 + 3

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  • D

    y=2(x+1)2+3y = -2(x+1)^2 + 3

Explanation

y=2(x22x)+1=2(x22x+1)+2+1=2(x1)2+3y = -2(x^2 - 2x) + 1 = -2(x^2 - 2x + 1) + 2 + 1 = -2(x-1)^2 + 3.

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