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Nonlinear Functions

SAT Math· difficulty 4/5

The graph of y=f(x)y = f(x) passes through (3,7)(3, 7). Through which point does y=−f(x)+1y = -f(x) + 1 pass?

  • A

    (3,6)(3, 6)

  • B

    (−3,7)(-3, 7)

  • C

    (−3,−6)(-3, -6)

  • D

    (3,−6)(3, -6)

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Explanation

−f(x)-f(x) negates: (3,7)→(3,−7)(3, 7) \to (3, -7). Add 1: (3,−7)→(3,−6)(3, -7) \to (3, -6).

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