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Math Help - f(x) transformations

  1. #1
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    f(x) transformations

    Let f(x) = 1/x

    Evaluate and plot g(x)= -f(2x) + 1

    Start with the innermost transformation and work outward in steps. There are 3 transformations

    Wasn't sure how to graph this, or set it up
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  2. #2
    Moo
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    Hello,

    Well, try this :

    - 2x
    - f(2x)=1/(2x)
    - +1 (it's like translating the graph to the upward as you add 1 to each ordinate)

    These are 3 transformations. I dunno if you're asked to show all the steps, but as you know the graph for x and the general behave of 1/x, you should be able to make it.
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  3. #3
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    Ok I have graphed f(x)= 1/x

    Now with g(x)= -f(2x) +1 does that mean the graph is reflected across the x-axis? If so, then what is the 2 in front of the x. And the 1 is up 1 unit, right?
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  4. #4
    Moo
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    Woops, i forgot the - sign...

    Yes, - means that it's reflected across the x-axis.
    Then 1/2 means that you divide the ordinates by 2. So it'll give the points at middle way from -1/x and the x-axis. (En gros, tu prends les points à mi-distance entre la courbe -1/x que tu as tracée et l'axe des abscisses, puisqu'à chaque fois tu prends la moitié de l'ordonnée d'un point)

    +1 is up 1 yes (puisqu'on ajoute 1 à l'ordonnée de chaque point, c'est comme si on faisait monter la courbe d'une unité)


    I hope you really speak French...even in French i'm not sure to be clear :s
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  5. #5
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    Ah merci beaucoup! J'suis null en maths mais bon

    Je vous remercie bien
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