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Nonlinear Functions

SAT Math· difficulty 4/5

The graph of y=f(x)y = f(x) has xx-intercepts at x=−2x = -2 and x=4x = 4. What are the xx-intercepts of y=f(x−3)y = f(x - 3)?

  • A

    x=−5,x=1x = -5, x = 1

  • B

    x=−2,x=4x = -2, x = 4

  • C

    x=−5,x=7x = -5, x = 7

  • D

    x=1,x=7x = 1, x = 7

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Explanation

Right shift by 3 adds 3 to each xx-intercept: −2+3=1-2 + 3 = 1 and 4+3=74 + 3 = 7.

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