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

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

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