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Nonlinear Functions

SAT Math· difficulty 2/5

The graph of y=x2y = x^2 is shifted 3 units right. What is the new equation?

  • A

    y=(x+3)2y = (x+3)^2

  • B

    y=x2−3y = x^2 - 3

  • C

    y=(x−3)2y = (x-3)^2

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  • D

    y=x2+3y = x^2 + 3

Explanation

Right shift by hh: replace xx with x−hx-h. So y=(x−3)2y = (x-3)^2.

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