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Math Help - How do you find the minimum?(Quadratics)

  1. #1
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    How do you find the minimum?(Quadratics)

    Hi,
    I'm in Grade Twelve Academic Math and I need to know how to find the minimum of any given problem.
    PLEASE PUT DOWN STEPS to finding the minimum, not just writing a question then jumping to the answer.
    I would really appreciate the help.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Kagome View Post
    Hi,
    I'm in Grade Twelve Academic Math and I need to know how to find the minimum of any given problem.
    PLEASE PUT DOWN STEPS to finding the minimum, not just writing a question then jumping to the answer.
    I would really appreciate the help.
    You want to know how to find the minimum value of the function
    y = ax^2 + bx + c
    where a is a positive number.

    Can you use Calculus or not?

    -Dan
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  3. #3
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    Math help

    I don't think so, I'm not great at math yet I'm in academic math(not basic).
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Kagome View Post
    I don't think so, I'm not great at math yet I'm in academic math(not basic).
    well, there are several ways of doing this. the two most prominent ways are to: (1) complete the square, or (2) use the vertex formula.

    note that only quadratics where the coefficient of x^2 is positive have a minimum value, and it occurs at their vertex. post a specific question if you want to see these methods demonstrated
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  5. #5
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    It should be  (\frac{-b}{2a}, the value of x put into the original equation) right?
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by SnipedYou View Post
    It should be  (\frac{-b}{2a}, the value of x put into the original equation) right?
    yes, x = \frac {-b}{2a} gives the x-value for the vertex in any quadratic in x. (of the form y = ax^2 + bx + c)
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