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Math Help - Translation difficulties with quadratic example

  1. #1
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    Wink Translation difficulties with quadratic example

    Hi Math Help Forum!

    I'm having problems in English written exercises, such as:

    The quadratic function which takes the value 41 at x=-2 and the value 20 at x=5 and is minimized at x=2 is:

    And the minimum value of this function is:



    So, what does "minimized at" means in this problem? The vertex of the function?

    It would be extremely helpful if someone do the steps for this one too! :3

    Salutations from Brazil! :3
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  2. #2
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    Quote Originally Posted by Zellator View Post
    Hi Math Help Forum!

    I'm having problems in English written exercises, such as:

    The quadratic function which takes the value 41 at x=-2 and the value 20 at x=5 and is minimized at x=2 is:

    And the minimum value of this function is:



    So, what does "minimized at" means in this problem? The vertex of the function? yes

    It would be extremely helpful if someone do the steps for this one too! :3

    Salutations from Brazil! :3
    equation for a quadratic with vertex (h,k) is ...

    y = a(x - h)^2 + k

    you are given h = 2 , a > 0

    use the (x,y) coordinates of the two given points to determine a and k
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  3. #3
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    Quote Originally Posted by skeeter View Post
    equation for a quadratic with vertex (h,k) is ...

    y = a(x - h)^2 + k

    you are given h = 2 , a > 0

    use the (x,y) coordinates of the two given points to determine a and k


    Hi Skeeter!

    Thank you so much for the reply!
    I've been very busy so I only got to respond now. :3

    So, the question was REALLY easy, wasn't it?

    Wolfram confirms the answer as y=3x^2-12x-19.

    After getting a and k I got to resolve it with Xv=-b/(2a) and Yv=-(b^2-4ac)/(4a).
    No problem with this method, but do you know any other ways to resolve this?
    It seem to be simpler than that.

    About the formula y=a(x-h)^2+k.
    I've never ever seen this, or someone using it whatsoever.
    I get it, education is kind of lousy in here. It's a basic Algebra II formula isn't?
    I feel so embarrassed hahahahah :3

    Thanks Again Skeeter!
    Last edited by mr fantastic; April 3rd 2011 at 01:03 PM. Reason: Removed link to other posted question.
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