Thread: HELP!!! With graphs (It might be hyberbolic--unsure!)

I need to know how to sketch graphs of the form y= 1/ x+c:

(i) y= 1/ x+2
(ii) y= 1/ x-4
(iii) y= 1/ x+1

Please help!! I'm clueless. I think they are hyberbolas in the xy=k thing but i cant draw or work it out. Pls show the steps

Thanks.

I suppose you know how looks like

The cases you posted are equal to this one in shape, mind you they have another position (they are horizontal translations).

The function has a vertical asymptote (the only one) in , so what you have to do is to move (horizontally) so that it has its aymptote there

Remember that they have horizontal asymptotes on both sides

Originally Posted by PaulRS

I suppose you know how looks like

The cases you posted are equal to this one in shape, mind you they have another position (they are horizontal translations).

The function has a vertical asymptote (the only one) in , so what you have to do is to move (horizontally) so that it has its aymptote there

Remember that they have horizontal asymptotes on both sides

But how come the x+3 is situated on top of the x-intercept 2?? and what if it is y= 1/ x-4

the minus sign.....
im so sleepy

PLS HELP!!!!!!!
i dunno./.............

im gonna b in big truoouble...omg its so late..........

Let's go over the cases.

First

It has a vertical asymptote in (what would be? )

Apart from that, it has the same shape the ones in the other post have.

Now

The vertical asymptote is (what would be? )


Finally

Asymptote

The important thing is that you realise that: for example
Just for you to see and