Sketching graphs

The question says sketch the curve: y=x^3-6x^2+9x
I drew it with solutions 0 and 3,3.
The next question asks:
Using your answer to (b) (the last question) sketch on a separate diagram the curve with equation: y=(x-2)^3-6(x-2)^2+9(x-2) showing the coordinates of the points at which the curve meets the x axis. I don't know where to begin or what the answer has to do with the previous question.

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Reply 1

TenOfThem

Original post by Year11guy

You have drawn f(x) and now need to draw f(x-2)

Have you done Graph Transformations?

Reply 2

BabyMaths

Original post by Year11guy

You do notice the similarity don't you?

Reply 3

Year11guy

Original post by TenOfThem

You have drawn f(x) and now need to draw f(x-2)

Have you done Graph Transformations?

Original post by BabyMaths

You do notice the similarity don't you?

So it's the same graph but just 2 units to the right? Would you get the same answer from expanding because that's what I began doing.

Reply 4

BabyMaths

Original post by Year11guy

So it's the same graph but just 2 units to the right? Would you get the same answer from expanding because that's what I began doing.

Yes, you could expand and so on but that would take considerably longer and you wouldn't be using your last answer as required by the question.

Reply 5

TenOfThem

Original post by Year11guy

So it's the same graph but just 2 units to the right? Would you get the same answer from expanding because that's what I began doing.

You would get the same answer, yes

But you would be wasting time :frown:

Reply 6

Year11guy

Original post by Year11guy

So it's the same graph but just 2 units to the right? Would you get the same answer from expanding because that's what I began doing.

Original post by TenOfThem

You would get the same answer, yes

But you would be wasting time :frown:

How would I find the equations of the asymptotes of y=3/x+2

Reply 7

TenOfThem

Original post by Year11guy

How would I find the equations of the asymptotes of y=3/x+2

http://www.thestudentroom.co.uk/showthread.php?t=2873737

What do you know about asymptotes?

Reply 8

Year11guy

Original post by TenOfThem

http://www.thestudentroom.co.uk/showthread.php?t=2873737

What do you know about asymptotes?

y=3/(x+2)

its a line that is approached but not touched by the curve

Reply 9

TenOfThem

Original post by Year11guy

y=3/(x+2)

its a line that is approached but not touched by the curve

Can I ask the context of your question - are you actually in Year 11

Reply 10

Year11guy

Original post by TenOfThem

Can I ask the context of your question - are you actually in Year 11

Lol, this was made when I was in year 11, I'm doing AS

Reply 11

TenOfThem

Original post by Year11guy

Lol, this was made when I was in year 11, I'm doing AS

Remember to label threads as sixth form then :smile:

So - do you know what value x cannot take?

Reply 12

Year11guy

Original post by TenOfThem

Remember to label threads as sixth form then :smile:

So - do you know what value x cannot take?

Reply 13

TenOfThem

Original post by Year11guy

Why would that be?

If x = 0, y = 3/2

I see no problem with that

Reply 14

Year11guy

Original post by TenOfThem

Why would that be?

If x = 0, y = 3/2

I see no problem with that

-2 sorry

Reply 15

TenOfThem

Original post by Year11guy

-2 sorry

So you know one asymptote x=-2

Now you need the y asymptote

Can you see a value that y cannot =

Reply 16

Year11guy

Original post by TenOfThem

So you know one asymptote x=-2

Now you need the y asymptote

Can you see a value that y cannot =

Does it have to be a whole number? Is there a way to calculate it?

Reply 17

TenOfThem

Original post by Year11guy

Does it have to be a whole number? Is there a way to calculate it?

There are a number of ways - have you been shown any

Simply spotting in this case
Splitting the numerator
Dividing by x

Reply 18

Year11guy

Original post by TenOfThem

There are a number of ways - have you been shown any

Simply spotting in this case
Splitting the numerator
Dividing by x

I haven't really learned about this. I was shown the spotting one. Which is the short/easiest?My exam board is edexcel if there's a specific one I must know

Reply 19

TenOfThem

Original post by Year11guy

I haven't really learned about this. I was shown the spotting one. Which is the short/easiest?My exam board is edexcel if there's a specific one I must know