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Nonlinear Functions

SAT Math· difficulty 5/5

The graph of y=f(x)y = f(x) has a minimum value of −4-4 at x=3x = 3. The graph of y=f(x−2)+6y = f(x - 2) + 6 has its minimum at:

  • A

    (3,2)(3, 2)

  • B

    (1,2)(1, 2)

  • C

    (5,−10)(5, -10)

  • D

    (5,2)(5, 2)

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Explanation

Right 2: (3,−4)→(5,−4)(3, -4) \to (5, -4). Up 6: (5,−4)→(5,2)(5, -4) \to (5, 2).

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