Question

How I figure out an equation for a function?

Answer 1

This is the function,

Answer 2

looks like a hyperbola shunted over and down

Answer 3

What do you mean by that?

Answer 4

Well a hyperbola is 1/x, centred on (0,0) right?

Answer 5

I have no idea. I've never had a problem like this

Answer 6

So then you shift it down 3 and 5 across,that would be

y+3= 1/(x - 5)

Do you have some points we can test?

Answer 7

It said that the graph was a translation of y = 2 / x, is that what you are referring to?

Answer 8

Oh well I wasn't far out...:-)

Answer 9

It is not a hyperbola

Answer 10

hyperbolas only open down and up or left and right.

Answer 11

That's parabolas

Answer 12

y=2/x is a hyperbola

Answer 13

I don't think you are right. Hyberbolas have asymptotes that lie on the +/-x=+/-y lines

Answer 14

I was just using my ti 84 calc, I tried the equation ' y=2/(x-3) -5 & it seems to work? But I really cant tell

Answer 15

i guess if you rotate this graph 45 deg then you're correct

Answer 16

I mean I entered it & the same image that I posted above came up, but I'm not sure if thats what the question was wanting

Answer 17

It's not a rotation, it is a translation

Answer 18

Ok, back to the problem at hand.....

Answer 19

We know it is a translation so it has the form

y+a =2/(x-b)

and we can use some of the datapoints to work out what is a and b