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Nonlinear Functions

SAT Math· difficulty 4/5

The graph of y=f(x)y = f(x) passes through (1,4)(1, 4). Through which point does the graph of y=2f(x−3)y = 2f(x - 3) pass?

  • A

    (4,8)(4, 8)

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  • B

    (4,4)(4, 4)

  • C

    (−2,8)(-2, 8)

  • D

    (1,8)(1, 8)

Explanation

f(x−3)f(x - 3) shifts right by 3, so (1,4)→(4,4)(1, 4) \to (4, 4). 2f2f stretches vertically by 2, so (4,4)→(4,8)(4, 4) \to (4, 8).

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