anonymous
  • anonymous
PLEASE HELP What transformation has changed the parent function f(x) = log3x to its new appearance shown in the graph below
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
https://adomvirtual.brainhoney.com/Resource/27439207,0/Assets/72383_53b5b2b2/07_00_158.jpg
mathmate
  • mathmate
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.
anonymous
  • anonymous
@mathmate i got f(x) – 2

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anonymous
  • anonymous
is it right? @mathmate
UnkleRhaukus
  • UnkleRhaukus
f(x)-2, would shift the graph down the vertical axis, but you want it to shift to the left
anonymous
  • anonymous
im really bad at this so would it be f(x-2)
UnkleRhaukus
  • UnkleRhaukus
that is a shift to the right
anonymous
  • anonymous
oh ok so it would be positive? f(x) = log3^(x+2)
UnkleRhaukus
  • UnkleRhaukus
i think you mean g(x) = f(x+2) = log_3 (x+2)
anonymous
  • anonymous
yes would that be correct
UnkleRhaukus
  • UnkleRhaukus
yes!
anonymous
  • anonymous
Thank you :)
UnkleRhaukus
  • UnkleRhaukus
when x approaches -2, the log has a vertical asymptote

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