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September 25, 2025, 12:56:32 am
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Author Topic: TyErd's questions  (Read 42380 times)  Share 

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the.watchman

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Re: TyErd's questions
« Reply #60 on: April 24, 2010, 09:15:41 pm »
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Just think: :)
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TyErd

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Re: TyErd's questions
« Reply #61 on: April 24, 2010, 09:19:55 pm »
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ohh ..so instead of going from the negative side of the unit circle you have gone the positive way to the same point. yeah?
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the.watchman

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Re: TyErd's questions
« Reply #62 on: April 24, 2010, 09:36:35 pm »
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Quote from: TyErd on April 24, 2010, 09:19:55 pm
ohh ..so instead of going from the negative side of the unit circle you have gone the positive way to the same point. yeah?

Yup :)
So it's the same thing
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TyErd

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Re: TyErd's questions
« Reply #63 on: April 24, 2010, 09:44:50 pm »
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i like it :)
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TyErd

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Re: TyErd's questions
« Reply #64 on: April 25, 2010, 10:55:02 am »
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What is if 
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brightsky

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Re: TyErd's questions
« Reply #65 on: April 25, 2010, 02:40:36 pm »
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Let , where are constants.

Hence,

We are given that .

That would mean

...(1), ...(2) and ...(3)

Substitute (1) into (2):





...(4)

Substitute (1) and (4) into (3):







...(5)

From (1), (4) and (5):



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kamil9876

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Re: TyErd's questions
« Reply #66 on: April 25, 2010, 02:57:47 pm »
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This is a lot simpler (and more rigorous, how do you know it should be a quadratic?, it is but its more difficult to show that than to actually do the question):




where

(not neccesary to let u=x+3 but I did for clarity's sake)
« Last Edit: April 25, 2010, 03:01:06 pm by kamil9876 »
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TyErd

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Re: TyErd's questions
« Reply #67 on: April 25, 2010, 03:07:25 pm »
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why do you let u=x-3?
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brightsky

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Re: TyErd's questions
« Reply #68 on: April 25, 2010, 03:12:51 pm »
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Substitute back in.



Nice method, kamil! ;D

EDIT: I got a question though, how can f(x) not be degree 2 when f(x+3) is degree 2?
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TyErd

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Re: TyErd's questions
« Reply #69 on: April 25, 2010, 03:33:45 pm »
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I dont get your first line though.
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brightsky

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Re: TyErd's questions
« Reply #70 on: April 25, 2010, 03:40:59 pm »
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The aim is to let . This is because you are already given what is and if you let , you can easily find out what f(u+3) is hence finding out what f(x) is.

That is why u = x - 3, as  but it still is in the form .
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the.watchman

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Re: TyErd's questions
« Reply #71 on: April 25, 2010, 03:41:46 pm »
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It is just trying to get the function with (something-in-terms-of-x)+3, in this case,

I agree, nice method!
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TyErd

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Re: TyErd's questions
« Reply #72 on: April 25, 2010, 03:53:44 pm »
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ooh I get it thankyou!
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kamil9876

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Re: TyErd's questions
« Reply #73 on: April 25, 2010, 06:00:08 pm »
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Quote
EDIT: I got a question though, how can f(x) not be degree 2 when f(x+3) is degree 2?

yeah it always is of degree two. Just found it wierd that you knew a fact that seemed more difficult than what the solution needed.

edit:

in general, say i am given , and i want to find .

Then i just use:



Example: , what's f(x)?
« Last Edit: April 25, 2010, 06:06:44 pm by kamil9876 »
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TyErd

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Re: TyErd's questions
« Reply #74 on: April 25, 2010, 08:09:57 pm »
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hmm how would you do that kamil?
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