Results 1 to 3 of 3

Math Help - Maths - Parabola Equations

  1. #1
    Newbie
    Joined
    Jun 2008
    Posts
    7

    Maths - Parabola Equations

    Hey guys! I'm new here & browse more thanb I post
    I have an emergency, and a lot of guys who are here are pretty knowledgable.
    If you could help me out with my question below I would be so happy! Thanks in advance,
    Damien.


    Question:
    I need the EQUATION of a PARABOLA in the form of y = ax^2 + bx + c
    I have three points; A (17, 3), B (51,3) and C (34, z)
    Z is unkown, however, point C is a local minimum.
    So y' = 2ax + b
    I need the EQUATION of a PARABOLA in the form of y = ax^2 + bx + c
    I have three points; A (17, 3), B (51,3) and C (34, z)
    Z is unkown, however, point C is a local minimum.
    So y' = 2ax + b. Can anyone help me find the equation of the parabola and the value of z?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    10,211
    Thanks
    419
    Awards
    1
    Quote Originally Posted by damien275x View Post
    Hey guys! I'm new here & browse more thanb I post
    I have an emergency, and a lot of guys who are here are pretty knowledgable.
    If you could help me out with my question below I would be so happy! Thanks in advance,
    Damien.


    Question:
    I need the EQUATION of a PARABOLA in the form of y = ax^2 + bx + c
    I have three points; A (17, 3), B (51,3) and C (34, z)
    Z is unkown, however, point C is a local minimum.
    So y' = 2ax + b
    I need the EQUATION of a PARABOLA in the form of y = ax^2 + bx + c
    I have three points; A (17, 3), B (51,3) and C (34, z)
    Z is unkown, however, point C is a local minimum.
    So y' = 2ax + b. Can anyone help me find the equation of the parabola and the value of z?
    Given the three points and you know that they lie on a parabola you can write:
    3 = a \cdot (17)^2 + b \cdot 17 + c
    3 = a \cdot (51)^2 + b \cdot 51 + c
    z = a \cdot (34)^2 + b \cdot 34 + c

    You know that C is a local minimum so from the derivative equation you get
    0 = 2a \cdot 34 + b

    That's 4 equations in 4 unknowns.

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member wingless's Avatar
    Joined
    Dec 2007
    From
    Istanbul
    Posts
    585
    Please don't create identical threads. Look, you stole topsquark's time. The same thread is here http://www.mathhelpforum.com/math-he...equations.html
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help with maths equations
    Posted in the Algebra Forum
    Replies: 2
    Last Post: November 10th 2011, 08:34 AM
  2. maths - parabola
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: December 8th 2009, 12:25 PM
  3. parabola equations
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: July 5th 2009, 01:17 AM
  4. Maths - Parabola Equations
    Posted in the Pre-Calculus Forum
    Replies: 10
    Last Post: June 22nd 2008, 07:56 AM
  5. Maths Questions - HELPA parabola
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: November 13th 2007, 07:47 AM

Search Tags


/mathhelpforum @mathhelpforum