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Nonlinear Functions

SAT Math· difficulty 4/5

The parabola y=−(x−2)2+9y = -(x-2)^2 + 9 has x-intercepts at:

  • A

    x=1,5x = 1, 5

  • B

    x=−1,−5x = -1, -5

  • C

    x=−1,5x = -1, 5

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  • D

    x=−5,1x = -5, 1

Explanation

Set y=0y = 0: (x−2)2=9(x-2)^2 = 9, x−2=±3x - 2 = \pm 3, x=−1x = -1 or 55.

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