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Linear Functions

SAT Math· difficulty 2/5

The graph of f(x)=3x−1f(x) = 3x - 1 is reflected across the xx-axis. What is the new function?

  • A

    g(x)=−3x−1g(x) = -3x - 1

  • B

    g(x)=3x+1g(x) = 3x + 1

  • C

    g(x)=−(3x−1)2g(x) = -(3x - 1)^2

  • D

    g(x)=−3x+1g(x) = -3x + 1

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Explanation

Reflection across xx-axis negates the output: g(x)=−(3x−1)=−3x+1g(x) = -(3x-1) = -3x + 1.

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