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 Post subject: Graphing translationsPosted: Thu, 8 Sep 2011 20:26:07 UTC
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Joined: Thu, 8 Sep 2011 20:16:42 UTC
Posts: 1
I need help graphing translations of logrithmic functions and exponential functions. things like f(x) = log1/5 x where 1/5 is the base and f(x)=(log5 x) +2 where 5 is the base. I just don't remember the rules of translation, like what all the negatives and things mean. and same for exponential functions like f(x)= (1/2)^-x and f(x)= (1/1/2)^x. any help would be good.

thanks

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 Post subject: Re: Graphing translationsPosted: Thu, 8 Sep 2011 21:46:45 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12103
Location: Austin, TX
alexnixon wrote:
I need help graphing translations of logrithmic functions and exponential functions. things like f(x) = log1/5 x where 1/5 is the base and f(x)=(log5 x) +2 where 5 is the base. I just don't remember the rules of translation, like what all the negatives and things mean. and same for exponential functions like f(x)= (1/2)^-x and f(x)= (1/1/2)^x. any help would be good.

thanks

Recall and .

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 Post subject: Re: Graphing translationsPosted: Fri, 9 Sep 2011 03:41:11 UTC
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Joined: Mon, 19 May 2003 19:55:19 UTC
Posts: 7951
Location: Lexington, MA
Hello, alexnixon!

Quote:
I need help graphing translations of logrithmic functions and exponential functions.

I assume you know the graph of
. . Call it Graph 1.

From (1), we have: .

Then: .

We have: .

This is the negative of Graph 1, reflected over the x-axis.

(2) is Graph 1 moved up 2 units.

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 Post subject: Re: Graphing translationsPosted: Fri, 9 Sep 2011 03:48:30 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Mon, 19 May 2003 19:55:19 UTC
Posts: 7951
Location: Lexington, MA
Hello again, alexnixon!

Quote:
I need help graphing translations of exponential functions.

I assume you know the graph of
. . Call it Graph 2.

From (3) we have: .

The graph of (3) is identical to Graph 2.

From (4) we have: .

The graph of (4) is identical to Graph 2.

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