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Nonlinear Functions

SAT Math· difficulty 5/5

The graph of gg is obtained by reflecting f(x)=xf(x) = \sqrt{x} over the yy-axis and shifting up 3. Which equation defines gg?

  • A

    g(x)=−x+3g(x) = \sqrt{-x} + 3

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  • B

    g(x)=−x+3g(x) = -\sqrt{x + 3}

  • C

    g(x)=x+3g(x) = \sqrt{x + 3}

  • D

    g(x)=−x+3g(x) = -\sqrt{x} + 3

Explanation

Reflect over yy-axis: −x\sqrt{-x}. Up 3: −x+3\sqrt{-x} + 3.

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