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Nonlinear Functions

SAT Math· difficulty 3/5

The graph of y=f(x)y = f(x) is shifted 3 units right and 2 units up. Which equation represents the new graph?

  • A

    y=f(x+3)−2y = f(x + 3) - 2

  • B

    y=f(x−3)+2y = f(x - 3) + 2

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  • C

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

  • D

    y=f(x−3)−2y = f(x - 3) - 2

Explanation

Right shift: replace xx with x−3x - 3. Up shift: add 2. Result: y=f(x−3)+2y = f(x - 3) + 2.

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