ATAR Notes: Forum

VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: Mao on November 06, 2008, 06:25:08 pm

Title: TRANSFORMATIONS
Post by: Mao on November 06, 2008, 06:25:08 pm: not a how-to series, but these are the two relevant pages from my two bound notes on this topic. hopefully they are of use.

[the second page i believe is more detailed and useful]
Title: Re: TRANSFORMATIONS
Post by: bec on November 08, 2008, 11:02:17 am: those notes are beautiful
Title: Re: TRANSFORMATIONS
Post by: onlyfknhuman on November 08, 2008, 11:09:50 am: awesome, do you have any notes on absolute values :-*
Title: Re: TRANSFORMATIONS
Post by: fredrick on November 08, 2008, 11:15:57 am: mapping way is better
Title: Re: TRANSFORMATIONS
Post by: xers on November 08, 2008, 03:25:28 pm: Yes, but its more time consuming. This will save a lot of time in multiple choice questions.
Title: Re: TRANSFORMATIONS
Post by: chlloe on November 08, 2008, 03:41:52 pm: Wow great notes!

Do you mind if we steal them 8-)
Title: Re: TRANSFORMATIONS
Post by: fredrick on November 08, 2008, 03:49:15 pm: Quote from: chlloe on November 08, 2008, 03:41:52 pm
Wow great notes!

Do you mind if we steal them 8-)
LMaO mao can i borrow these:P
Title: Re: TRANSFORMATIONS
Post by: mikola1989 on November 09, 2008, 07:58:53 pm: just a thought: on the sixth line down, it says that a dilation by factor '1/a' from the x-axis is f(x)->af(x) and it says for a dilation by factor 'a' from x-axis f(x) -> af(x). shouldn't the first be the reciprocal instead... they cant both be right....
i may be just confused... any help would be appreciated :S
otherwise, awesome notes Mao! keep up the good work!
Title: Re: TRANSFORMATIONS
Post by: Mao on November 09, 2008, 08:55:06 pm: yeah, that was a bit I wrote to myself [possibly incorrectly] in a way that I understands it.

let $y=f(x)$ , dilating by '1/a' would create $f(x)\to a f(x)$ , hence $y \to \frac{1}{a}y$

as I said, it's probably only in a way that I understands it :P
Title: Re: TRANSFORMATIONS
Post by: mikola1989 on November 09, 2008, 09:09:32 pm: ah, but doesn't dilating by '1/a' create $f(x) \to \frac{1}{a} \cdot f(x)$ ? resulting in $y \to ay$ ...
just like dilating by 'a' creates $f(x) \to a \cdot f(x)$ , resulting in $y \to \frac {1}{a}y$
Title: Re: TRANSFORMATIONS
Post by: Mao on November 09, 2008, 09:22:43 pm: Quote from: mikola1989 on November 09, 2008, 09:09:32 pm
ah, but doesn't dilating by '1/a' create $f(x) \to \frac{1}{a} \cdot f(x)$ ? resulting in $y \to ay$ ...
just like dilating by 'a' creates $f(x) \to a \cdot f(x)$ , resulting in $y \to \frac {1}{a}y$

exactly.
I had 'f(x)' representing 'y', no idea why I did that though. [it was probably me at some 3 am morning... a lot of my bound notes were done at those times]
Title: Re: TRANSFORMATIONS
Post by: mikola1989 on November 09, 2008, 09:34:24 pm: :)
thought id better mention it.. for all the people using it in their exams tomorrow :S
so screwed. lol.
good luck guys! (and gals!)
Title: Re: TRANSFORMATIONS
Post by: onlyfknhuman on November 09, 2008, 09:40:42 pm: Quote from: mikola1989 on November 09, 2008, 09:34:24 pm
:)
thought id better mention it.. for all the people using it in their exams tomorrow :S
so screwed. lol.
good luck guys! (and gals!)

DONT NEED IT XD I RELY ON WILL POWA