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Nonlinear Functions

SAT Math· difficulty 3/5

The graph of y=x2y = x^2 is shifted 2 right and 4 down. What is the new equation?

  • A

    y=(x−2)2+4y = (x-2)^2 + 4

  • B

    y=(x+2)2−4y = (x+2)^2 - 4

  • C

    y=(x−2)2−4y = (x-2)^2 - 4

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  • D

    y=(x+2)2+4y = (x+2)^2 + 4

Explanation

Right by 2: replace xx with x−2x-2. Down by 4: subtract 4. y=(x−2)2−4y = (x-2)^2 - 4.

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