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Math Help - [SOLVED] parablas and factured form

  1. #1
    I_need_help
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    [SOLVED] parablas and factured form

    can all parablas be expressed in factered form
    (explain with examples)

    thank-you
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by I_need_help View Post
    can all parablas be expressed in factered form
    (explain with examples)

    thank-you
    You're from Canada? Then you should know that it's "parabola" and "factor."

    It depends on what you want. You can always put a parabola into the vertex form:
    y = a(x - h)^2 + k
    if you would consider that factored.

    However, if you are given y = ax^2 + bx + c, where a, b, and c are integers, and want to write it as y = (dx + e)(fx + g)

    then the answer is, in general, no if you are talking about integer d, e, f, and g.

    Ex:
    y = x^2 + x + 1

    There are not even any real numbers d, e, f, and g such that the right hand side factors.

    -Dan
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  3. #3
    Flow Master
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    Quote Originally Posted by I_need_help View Post
    can all parablas be expressed in factered form
    (explain with examples)

    thank-you
    If they could, do you see why this would mean that all parabolas cut the horizontal axis (this axis is often called the x-axis) ..... Do they?
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  4. #4
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    Quote Originally Posted by I_need_help View Post
    can all parabolas be expressed in factered form
    ...
    Hello,

    of course not!

    There are a lot more parabolas than those which are graphs of functions.
    Attached Thumbnails Attached Thumbnails [SOLVED] parablas and factured form-rot_parab.gif  
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  5. #5
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    Quote Originally Posted by earboth View Post
    Hello,

    of course not!

    There are a lot more parabolas than those which are graphs of functions.
    Boy oh boy! You've really exponentialised this poor guy's worries now!!

    I get the feeling all was meant to be qualified with the equation y = ax^2 + bx + c ......
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