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Math Help - Moving of Line Functions

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    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
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  2. #2
    MHF Contributor
    Grandad's Avatar
    Joined
    Dec 2008
    From
    South Coast of England
    Posts
    2,570

    Transformation of functions

    Hello inlandlost

    Welcome to Math Help Forum!
    Quote Originally Posted by inlandlost View Post
    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.

    Grandad
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