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    I really want someone to explain EXACTLY (no examples, explain MY one)
    how to do this question:

    1: apply the following tranformations to the curves with equations y=f(x) where: i. f(x) = x^2
    ii. f(x) = x^3
    iii: f(x) = 1/x



    in each case show both f(x) and the tranformation on the same diagram:
    f) 2f(x)

    ok, how do I draw i, ii, and iii?
    thanks

    Well the easiest way to draw these graphs is to draw a small little table

    X| -3 -2 -1 0 1 2 3
    Y| (-3)^3 (-2)^3 (-1)^3 0 1 8 27
    -27 -8 -1

    and you should have like i weird curve

    and the same with 1/x

    and to do the transformations the best way to learn it for yourself is to sub in the values and draw the graph then see the difference between the 2 graphs

    usually you'll notice patterns like stretches and translations
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    (Original post by bull3tkid-ark)
    I really want someone to explain EXACTLY (no examples, explain MY one)
    how to do this question:

    1: apply the following tranformations to the curves with equations y=f(x) where: i. f(x) = x^2
    ii. f(x) = x^3
    iii: f(x) = 1/x



    in each case show both f(x) and the tranformation on the same diagram:
    f) 2f(x)

    ok, how do I draw i, ii, and iii?
    thanks
    Do you know what an x^2 graph, x^3 graph and 1/x graph look like? if not you can google it because I don't know how to draw it on here. (or I can try and fin some links if you want)
    The 2 in front of the f(x) means that you need to do a stretch of 2 in the y axis. So, the x coordinates all stay exactly the same but the y coordinates need to be doubled ie (1,1) would go to (1,2) etc
    Draw an x^2 graph and then on the same axis draw it with the y coordinates doubled
    Then the same for part ii and iii
    help at all? just ask if it still doesn't make sense
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    **** I made diagrams, but too late :<

    Edit:
    http://img97.imageshack.us/gal.php?g=graph1u.png
 
 
 
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Updated: September 26, 2010
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