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Nonlinear Functions

SAT Math· difficulty 4/5

The graph of y=f(x)y = f(x) has a maximum at (2,8)(2, 8). What is the maximum of y=f(x+3)−5y = f(x + 3) - 5?

  • A

    (5,13)(5, 13)

  • B

    (−1,3)(-1, 3)

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  • C

    (5,3)(5, 3)

  • D

    (−1,13)(-1, 13)

Explanation

Left 3: (2,8)→(−1,8)(2, 8) \to (-1, 8). Down 5: (−1,8)→(−1,3)(-1, 8) \to (-1, 3).

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