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Math Help - Moving of Line Functions

  1. #1
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    Oct 2009
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    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
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    Thanks
    1

    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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