You are Here: Home >< Maths

# A-level Maths - How would you start to draw this reciprocal graph...?? Watch

1. Ok, so I'm having a silly moment and am having trouble drawing this graph...

I know that the bottom part of the fraction translates the graph to the right by 2 as it "tends to infinity" on the x-axis at x=2.
And that the bottom part of the graph crosses the axis at and .

But I don't know how to draw the rest of the graph properly.
Where on the y-axis does the reciprocal graph "tend to infinity"?
2. (Original post by Philip-flop)
Ok, so I'm having a silly moment and am having trouble drawing this graph...

I know that the bottom part of the fraction translates the graph to the right by 2 as it "tends to infinity" on the x-axis at x=2.
And that the bottom part of the graph crosses the axis at and .

But I don't know how to draw the rest of the graph properly.
Where on the y-axis does the reciprocal graph "tend to infinity"?
Divide top by bottom to get it in the form y=2 + A/(x-2)
3. It may be easier to sketch if you write y as .
From here it is easy to see that the curve is just 1/x with a few simple transformations applied.
4. (Original post by tiny hobbit)
Divide top by bottom to get it in the form y=2 + A/(x-2)
Can you explain the process of dividing the top by the bottom? I don't think I'm following

I ended up with

I think I did something wrong?
5. (Original post by Philip-flop)
Can you explain the process of dividing the top by the bottom? I don't think I'm following

I ended up with

I think I did something wrong?

Basic long division, you should be able to do since you did chapter 1!
6. (Original post by Naruke)
Basic long division, you should be able to do since you did chapter 1!
Oh yeah! I didn't think about dividing in that way! Managed to work out the answer straight away with the long division method.

(Original post by solC)
Thank you

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:
Updated: August 31, 2016
Today on TSR

### Oxford interview invitations

When can you expect yours?

### Official Cambridge interview invite list

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### 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
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• 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.