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Math Help - graph function

  1. #1
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    graph function

    Hi,
    How would I graph this function please?

    y=-x^2/(2-x+4)
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  2. #2
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    Quote Originally Posted by wolfhound View Post
    Hi,
    How would I graph this function please?

    y=-x^2/(2-x+4)
    what you posted is equivalent to \displaystyle y = \frac{x^2}{x-6}

    or did you really mean this ...

    \displaystyle y = -\frac{x^2}{2x^2 - x + 4}

    ?
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  3. #3
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    Quote Originally Posted by skeeter View Post
    what you posted is equivalent to \displaystyle y = \frac{x^2}{x-6}
    Hi, its this one, but I dont know what to do?
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  4. #4
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    graph has a vertical asymptote and a slant asymptote ... start by finding and graphing them.
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  5. #5
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    i don't know how sorry
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  6. #6
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    Quote Originally Posted by wolfhound View Post
    i don't know how sorry
    Use long division:

    Code:
                                         36
      x^2            (x - 6) = x + 6 + -----
    -(x^2 - 6x)                          x-6
    -------------
            6x
          -(6x - 36)
          ----------
                 36
    That means: y = \dfrac{x^2}{x-6} = \underbrace{x + 6}_{\text{term of slant asymptote}} + \dfrac{36}{x-6}

    Keep in mind that a denominator must unequal zero.
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  7. #7
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    Quote Originally Posted by earboth View Post
    Use long division:

    Code:
                                         36
      x^2            (x - 6) = x + 6 + -----
    -(x^2 - 6x)                          x-6
    -------------
            6x
          -(6x - 36)
          ----------
                 36
    That means: y = \dfrac{x^2}{x-6} = \underbrace{x + 6}_{\text{term of slant asymptote}} + \dfrac{36}{x-6}

    Keep in mind that a denominator must unequal zero.
    Oh thanks, but I still don't know how to graph it
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  8. #8
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    Quote Originally Posted by wolfhound View Post
    Oh thanks, but I still don't know how to graph it
    have you had any instruction on the graphing of rational functions? if not, then you need to research the topic and do some example problems.

    here's a link to get you started ...

    http://www.mathmotivation.com/lectur...-Functions.pdf
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  9. #9
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    No ,I haven't been taught anything about the graphing of them. The question I got asked me to identify if the parabola is U or n shaped.( i know -x^2 means n shape)
    But i want to understand the whole concept of it... thanks
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  10. #10
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    Quote Originally Posted by wolfhound View Post
    Hi,
    How would I graph this function please?

    y=-x^2/(2-x+4)
    where did this original equation come from?
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  11. #11
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    on the question sheet
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