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Old 02-01-2009: 2nd January 2009 08:07 #3 
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Default Re: Ultimate Edexcel C3 Maths Revision Thread- Jan 15th
 
Get in. Finally, it's started.

Now, to wait for replies...

Oh screw it, I'm going to post up helpful stuff because it's 8AM and I can't sleep, and it counts as a form of revision.

Helpful way of understanding transformations.

This is going to sound very, very queer, but just bear with me.

Now, x does not do as it's told. We often substitute the letter 'x' for 'bad' things, so just remember, x is bad. On the other hand, y is good, and does as it's told.

So, if you were to ask x to multiply by 3, as in f(3x), it would do the opposite, because it sucks, and it would divide by 3 instead. If you asked it to move to the left by 2, as in f(x-2), it would do the opposite and move right.

So we know that y does as it's told. If we tell it to multiply by 2 and add 3, it'll do it, as in 2f(x)+3.

However, the only time that x does as it is told is when you tell it to be naughty. When you put a minus sign in front of it, it just can't resist, and it'll do it, because you're telling it to be bad. So, put a minus sign there, like f(-x), and all the x coordinates become negative. Tell y to become bad, and it'll do it too. -f(x) means all of the y coordinates become negative.

Another thing: do things that are closest to the x first.

For example, if you had to sketch 3f(2x-5), do the 2 first, then the 5, then the 3.
 

Last edited by wanderlust.xx : 02-01-2009 at 11:13.