Results 1 to 9 of 9

Math Help - confused about nomenclature

  1. #1
    Newbie
    Joined
    Nov 2009
    Posts
    11

    Question confused about nomenclature

    It seems there are three generally recognized forms of quadratic functions:
    1. ax▓ + bx + c = 0
    2. y = a(x - h)▓ + k
    3. 4p(y - k) = (x - h)▓

    I've seen (1) called the standard form or the general form
    (2) seems always to be called the vertex form
    (3) seems to be called the standard form, the general form, or the factored form.

    What is the most consistent, correct way to refer to these equation forms? Isn't there some "official" nomenclature?

    Thanks for any help or suggestions.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,110
    Thanks
    2
    Call them "Steve" if you like. What difference does it make? Different forms have different conveniences. Learn to use all of them.

    For starters, you seem to be missing the important word in your question. You have not provided any "function". You have provided "equations".

    In my view, the ONLY reason to learn what the form is called is to get the question correct on an exam. After you pass the exam, you should become sufficiently familiar that the application will dictate the required form. Be fluent in all.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2009
    Posts
    11
    I'm not even in school. thanks, "expert."
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member Stroodle's Avatar
    Joined
    Jun 2009
    Posts
    367
    I've been taught that the first one is called "standard form", the second is "turning point" form, but I'm not sure about the third one.
    I'm sure there's many accepted names for each though.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member Bacterius's Avatar
    Joined
    Nov 2009
    From
    Wellington
    Posts
    927
    I've been told that the first one is "standard form", the second one "intercept form", and I have never seen the third one
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Senior Member
    Joined
    Jul 2009
    From
    Melbourne
    Posts
    272
    Thanks
    4
    I'm same with the guys.

    1st one standard, 2nd one turning point form. Don't know about the 3rd one?

    I think the "official" form is the first one. The 2nd one makes it much easier to graph.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Super Member Bacterius's Avatar
    Joined
    Nov 2009
    From
    Wellington
    Posts
    927
    I think the "official" form is the first one. The 2nd one makes it much easier to graph.
    I think it is safe to say that the first one is appropriate for algebra´c purposes, and the second one for graph purposes.
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Newbie
    Joined
    Nov 2009
    Posts
    11
    the 3rd one:
    4p(y - k) = (x - h)▓
    gives focus as:
    (h, k + p)
    and directrix as:
    y = k - p
    Follow Math Help Forum on Facebook and Google+

  9. #9
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,110
    Thanks
    2
    I think you'all have supported my original point quite nicely.

    There is not agreement on what to call these things - particularly not if we start adding cultural and language differences. Mathematics begins to lose it's universal language capacity if we have to decide such things. If we decide in English, is the French word now invalid? I have some confidence that the French would not buy into this plan.

    Let's focus on what they do and how they help us do what it is that is needed.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: January 10th 2010, 08:45 AM
  2. Nomenclature
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: December 12th 2009, 03:19 AM
  3. Please help....so confused
    Posted in the Geometry Forum
    Replies: 1
    Last Post: April 16th 2009, 10:25 PM
  4. confused :(
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 23rd 2008, 06:25 PM
  5. Confused on what to do here..
    Posted in the Algebra Forum
    Replies: 8
    Last Post: January 23rd 2008, 02:34 PM

Search Tags


/mathhelpforum @mathhelpforum