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 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
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