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Linear Functions

SAT Math· difficulty 3/5

The graph of f(x)=−2x+5f(x) = -2x + 5 is reflected across the xx-axis, then shifted up 33. What is the new function?

  • A

    g(x)=2x+8g(x) = 2x + 8

  • B

    g(x)=−2x−2g(x) = -2x - 2

  • C

    g(x)=2x−8g(x) = 2x - 8

  • D

    g(x)=2x−2g(x) = 2x - 2

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Explanation

Reflect: −(−2x+5)=2x−5-(-2x + 5) = 2x - 5. Then shift up 3: 2x−22x - 2.

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