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anonymous

  • one year ago

PLEASE HELP What transformation has changed the parent function f(x) = log3x to its new appearance shown in the graph below

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  1. anonymous
    • one year ago
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    https://adomvirtual.brainhoney.com/Resource/27439207,0/Assets/72383_53b5b2b2/07_00_158.jpg

  2. mathmate
    • one year ago
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    Hint: When transforming f(x)->g(x) in the form g(x)=f(x-h)+k, then g(x) is translated from f(x) to the right by h, and up by k. We know that when \(f(x)=log_3(x)\), there is vertical asymptote at x=0 towards negative infinity, and that f(1)=0, and f(3)=1. Observe the graph of g(x) to see how g(x) was transformed from f(x), and work out the transformation accordingly.

  3. anonymous
    • one year ago
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    @mathmate i got f(x) – 2

  4. anonymous
    • one year ago
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    is it right? @mathmate

  5. UnkleRhaukus
    • one year ago
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    f(x)-2, would shift the graph down the vertical axis, but you want it to shift to the left

  6. anonymous
    • one year ago
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    im really bad at this so would it be f(x-2)

  7. UnkleRhaukus
    • one year ago
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    that is a shift to the right

  8. anonymous
    • one year ago
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    oh ok so it would be positive? f(x) = log3^(x+2)

  9. UnkleRhaukus
    • one year ago
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    i think you mean g(x) = f(x+2) = log_3 (x+2)

  10. anonymous
    • one year ago
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    yes would that be correct

  11. UnkleRhaukus
    • one year ago
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    yes!

  12. anonymous
    • one year ago
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    Thank you :)

  13. UnkleRhaukus
    • one year ago
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    when x approaches -2, the log has a vertical asymptote

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