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AQA FP1 - "Parabolas, ellipses and hyperbolas"...what?

ive got right up to the last chapter (about time the exam is less than 2 weeks away) but the book is now failing me! im doing it as selfstudy n only have the heinemann textbook, none of the teachers at school seem to be able to help much so im hoping sum1 here can.

the geometric transformations of: xy=7 to xy=21 and
(3x^2)-(4y^2)=12 to (x^2)-(y^2)= 4

where do i start with these??? i changes the second one to.....
(x/root3)^2 - (y/2)^2 = 12
.....but it didnt really help

Reply 1

What is the question?

Reply 2

Have a look at the Edexcel formula book under FP2. There's a big table of all the results you need to know - in fact, these two results should be there in a way, and then it's up to you to figure out how to use them.

Incidentally, they're both stretches - the first one is a stretch by a factor of 3 (in either direction, doesn't matter), the second I'll let you work out from the formula book as it's quite easy to work out. :smile:

Reply 3

omfg

i just wrote out answer and it died.
godaamnit it

ok first question replace xy with (x/3)y=7 so stretch of factor 3 in x direction
but 2 other answers obviously

second one i got stuck on too
you 3x²-4y²=12 you have to have 3x²-(root3y/2)²=12 multiply it out and you get it

however i have never seen a question that hard on any of the FP1 past papers they are normally much easier. so don't sweat it much.

Reply 4

generalebriety
Have a look at the Edexcel formula book under FP2...
...the first one is a stretch by a factor of 3 (in either direction, doesn't matter), the second I'll let you work out from the formula book as it's quite easy to work out. :smile:


thomas795135
ok first question...stretch of factor 3 in x direction
but 2 other answers obviously
second one i got stuck on too
you 3x²-4y²=12 you have to have 3x²-(root3y/2)²=12 multiply it out and you get it
however i have never seen a question that hard on any of the FP1 past papers they are normally much easier. so don't sweat it much


cheers guys! the edexcel formula booklet didnt really help much to be honest im not sure what im supposed to do with that :s-smilie:. yeah i thort the fist one was just a sf3 stretch but the book said had a complicated answer including a stretch in the opposite direction aswell.
i still dont understand the 2nd q, i see how u can get there but not really why! o well i might go and ask a teacher at the school where i do physics cos i go back b4 the exam.

thanks again! (its not ur fault im stupid)

Reply 5

for the first one you can have a stretch of root 3 in both the x and y directions.

Reply 6

rian
cheers guys! the edexcel formula booklet didnt really help much to be honest im not sure what im supposed to do with that :s-smilie:. yeah i thort the fist one was just a sf3 stretch but the book said had a complicated answer including a stretch in the opposite direction aswell.
i still dont understand the 2nd q, i see how u can get there but not really why! o well i might go and ask a teacher at the school where i do physics cos i go back b4 the exam.

thanks again! (its not ur fault im stupid)

It's not that you're stupid, it's just that I was hoping the formula book could jog your memory. Conics is a huge topic and we really can't attempt to teach you it. :s-smilie: Have a look in your textbook.

Reply 7

thomas795135
for the first one you can have a stretch of root 3 in both the x and y directions.

No, it's a stretch of 3. And I said it was in either direction.

Reply 8

the second one...u just had to divide it by three at the start! lol how obvious was that

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