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Nonlinear Functions

SAT Math· difficulty 4/5

The graph of f(x)=x2f(x) = x^2 is reflected over the x-axis and shifted up 5. What is the new equation?

  • A

    y=(x−5)2y = (x-5)^2

  • B

    y=x2+5y = x^2 + 5

  • C

    y=−x2+5y = -x^2 + 5

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  • D

    y=−x2−5y = -x^2 - 5

Explanation

Reflect over x-axis: y=−x2y = -x^2. Shift up 5: y=−x2+5y = -x^2 + 5.

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