Question

Picture Attached. I don't understand this type of graph.. but I need to. Could someone explain it to me??

Answer 1

Like what is the significance of x=4 and y=3??

Answer 2

Parallelagraph ?

Answer 3

I have no idea what its called, haha.

Answer 4

Also what do you mean by significance?

Answer 5

It is an asymptote

Answer 6

Ok, the graph is a type of rational function.
There are two types, direct and inverse variation. The one in your picture is an inverse equation.

Answer 7

something like y = k/(x-4) + 3, you're given a point. Use it to find k

Answer 8

Inverse. Alright, how do I use the x=4 and y=3 to solve for the equation?

Answer 9

An asymptote is a line e.g. x = 4 or y = 3. The graph wil NEVER touch a point along that line.

Answer 10

Ohhh okay!!

Answer 11

I don't want the answer, but how would I use the asymptote to find the equation?

Answer 12

asn: y = 2/(x-4) + 3

Answer 13

Oh, and I plug it in??

Answer 14

You use the general formula for rational functions. Do you know it?

Answer 15

No sir!

Answer 16

Oh I just realized xxferrocixx gave the answer lol. How do you come to that though??

Answer 17

You will find this really helpful:

Answer 18

you just have to know the general shape of some basic rational function, like 1/x, 1/x^2

Answer 19

Ohh okay!! That make sense, its like other graphs lol. Thank you guys!! :) I can only give one medal. :/

Answer 20

If I give one of y'all a medal will you give a medal to the other one??

Answer 21

Ok, to summarize:
1) Find the asymptotes using the graph
2) Plug in asymptotes to general formula

Answer 22

Thank you very much!! Helped a ton. :)