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Nonlinear Functions

SAT Math· difficulty 4/5

The graph of a function gg is obtained from f(x)=x2f(x) = x^2 by reflecting over the xx-axis and shifting up 4. Which is the equation of gg?

  • A

    g(x)=−x2−4g(x) = -x^2 - 4

  • B

    g(x)=x2+4g(x) = x^2 + 4

  • C

    g(x)=(x−4)2g(x) = (x - 4)^2

  • D

    g(x)=−x2+4g(x) = -x^2 + 4

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Explanation

Reflect: −x2-x^2. Shift up 4: −x2+4-x^2 + 4.

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