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Nonlinear Functions

SAT Math· difficulty 4/5

If g(x)=f(2x)−3g(x) = f(2x) - 3, how is the graph of gg obtained from ff?

  • A

    Vertical stretch by factor 2, then shift down 3

  • B

    Horizontal stretch by factor 2, then shift down 3

  • C

    Horizontal compression by factor 2, then shift down 3

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  • D

    Horizontal compression by factor 2, then shift up 3

Explanation

f(2x)f(2x): horizontal compression by factor 2. −3- 3: shift down 3.

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