anonymous
  • anonymous
What transformation has changed the parent function f(x) = log3x to its new appearance shown in the graph below? f(x − 2) f(x + 2) f(x) − 2 f(x) + 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
SolomonZelman
  • SolomonZelman
In a case of, \(\large\color{#000000 }{ \displaystyle y=\log(ax) }\) you use, `log(a•b)=log(a)+log(a)` So your function reallly says: \(\large\color{#000000 }{ \displaystyle y=\log(a)+\log(x) }\)
SolomonZelman
  • SolomonZelman
So it is a vertical shift ((the log(a) is a constant like any other))

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anonymous
  • anonymous
@SolomonZelman I'm still confused
SolomonZelman
  • SolomonZelman
Oh, I am sorry, the parent function they set is log(3x), which is a little wierd.
SolomonZelman
  • SolomonZelman
But the shift is not 2...
SolomonZelman
  • SolomonZelman
In any case, though, you can at least determine the direction of the shift. Parent function https://www.desmos.com/calculator/brehcnexdc Your function https://www.desmos.com/calculator/sas4zak1ou
SolomonZelman
  • SolomonZelman
So I will give it away because none of the answers are right. the shift is actually f(x+4/3)
anonymous
  • anonymous
So if none of the answers match the actual shift, what do I do? @SolomonZelman
SolomonZelman
  • SolomonZelman
the closest is f(x+2)

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