# Thread: Moving of Line Functions

1. ## Moving of Line Functions

I have been given a set of numbers which I then have to put on a graph, take a function which looks similar to those numbers (ie: y = 1/x) and then move that function until it models the set of numbers as closely as possible.

The numbers are

Time (min) __ +Gx (g)
0.01 __ 35
0.03 __ 28
0.1 __ 20
0.3 __ 15
1 __ 11
3 __ 9
10 __ 6
30 __ 4.5

Once those are on the graph i must develop a function that models those numbers as closely as possible, one step at a time. It would be greatly appreciated if you could explain what does what to a line,

ie: y=1/x

x -> x-10, which moves it ten to the right horizontally.

Thanks

2. ## Transformation of functions

Hello inlandlost

Welcome to Math Help Forum!
Originally Posted by inlandlost
I have been given a set of numbers which I then have to put on a graph, take a function which looks similar to those numbers (ie: y = 1/x) and then move that function until it models the set of numbers as closely as possible.

The numbers are

Time (min) __ +Gx (g)
0.01 __ 35
0.03 __ 28
0.1 __ 20
0.3 __ 15
1 __ 11
3 __ 9
10 __ 6
30 __ 4.5

Once those are on the graph i must develop a function that models those numbers as closely as possible, one step at a time. It would be greatly appreciated if you could explain what does what to a line,

ie: y=1/x

x -> x-10, which moves it ten to the right horizontally.

Thanks
You'll find plenty of material about 'what does what to a line' if you search the internet for 'transformation of functions'.

For example, there's a whole lot of illustrations in this pdf file. (Be patient, it might take a while to download.) And there's some interactive stuff here.