You are Here: Home >< Maths

# C1 Sketching Curves HELP

Announcements Posted on
TSR's new app is coming! Sign up here to try it first >> 17-10-2016

1. How do I start question 3? Thanks
2. g(x)=f(x-3) = (x-3)/(x-4), so the asymptotes are 1 and 4 (this is a translation by 3 units in the x-direction)

For b, we solve the equation (x-3)/(x-4)= 0 to give x=3 as x -intercept. and find g(0) = y= 3/4 for y-intercept
3. (Original post by 123Master321)
g(x)=f(x-3) = (x-3)/(x-4), so the asymptotes are 1 and 4 (this is a translation by 3 units in the x-direction)

For b, we solve the equation (x-3)/(x-4)= 0 to give x=3 as x -intercept. and find g(0) = y= 3/4 for y-intercept
Oh thank you but the only bit I don't understand is how you found the horizontal asymptote
4. (Original post by Amarante)
Oh thank you but the only bit I don't understand is how you found the horizontal asymptote
You need to know that .
If you're not sure about this then divide numerator and denominator by x to get .
You know that as so the result follows.
5. I think it's something to do with y=f(x), and if x doesn't equal 0, can we assume that the asymptote for x is the same as y? Then the horizontal asymptote would be y = 1.
I'm just in C1 as well, so I'm not really sure about this off the top of my head. If you know someone in Year 13 who takes Maths it might be a good idea to ask them.
6. to find the horizontal asymptote you let x get really really big ?

...enormous x -3 is really just x

.... enormous x - 4 is really just x

so dividing { x - 3 } / { x - 4 } is pretty much 1
7. (Original post by B_9710)
You need to know that .
If you're not sure about this then divide numerator and denominator by x to get .
You know that as so the result follows.
I understand now, appreciate your help but this doesn't seem like a c1 topic
8. (Original post by Amarante)
I understand now, appreciate your help but this doesn't seem like a c1 topic
If you want to make it C1, you could just sketch the original graph and note the horizontal asymptote wont change after translation
9. You can divide to get .
Consider now the 2 transformations that map the curve y=1/x to y=f(x).
10. (Original post by B_9710)
You know that as so the result follows.
as

(Original post by Amarante)
I understand now, appreciate your help but this doesn't seem like a c1 topic
It is a perfectly valid technique for finding the horizontal asymptote so you can use it. Finding the horizontal asymptote is just taking a limit, so any other method would be an adaptation of this.

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
your full birthday is required
1. Oops, you need to agree to our Ts&Cs to register

Updated: October 15, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### How does exam reform affect you?

From GCSE to A level, it's all changing

Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read here first

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups
Study resources

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.