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Linear Functions

SAT Math· difficulty 3/5

The graph of f(x)=x+2f(x) = x + 2 is shifted left 33 and down 11. What is the new function g(x)g(x)?

  • A

    g(x)=x+5g(x) = x + 5

  • B

    g(x)=x−4g(x) = x - 4

  • C

    g(x)=x−2g(x) = x - 2

  • D

    g(x)=x+4g(x) = x + 4

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Explanation

g(x)=f(x+3)−1=(x+3)+2−1=x+4g(x) = f(x+3) - 1 = (x+3) + 2 - 1 = x + 4.

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