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Nonlinear Functions

SAT Math· difficulty 4/5

The graph of y=xy = \sqrt{x} is shifted right 4, reflected over xx-axis, and shifted up 2. Which equation represents the result?

  • A

    y=x−4+2y = \sqrt{x - 4} + 2

  • B

    y=−x+4+2y = -\sqrt{x + 4} + 2

  • C

    y=−x−4−2y = -\sqrt{x - 4} - 2

  • D

    y=−x−4+2y = -\sqrt{x - 4} + 2

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Explanation

Right 4: x−4\sqrt{x - 4}. Reflect: −x−4-\sqrt{x - 4}. Up 2: −x−4+2-\sqrt{x - 4} + 2.

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