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Math Help - Finding vertex

  1. #1
    Junior Member
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    Exclamation Finding vertex

    Dear forum I have a question,
    I need to Find the vertex of y = f(x) = 3x2 - 10x + 2 two different ways. What is the standard form of the equation?

    any feed back would be appreciated..
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  2. #2
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    Quote Originally Posted by AlgebraicallyChallenged View Post
    Dear forum I have a question,
    I need to Find the vertex of y = f(x) = 3x2 - 10x + 2 two different ways. What is the standard form of the equation?

    any feed back would be appreciated..
    The 'vertex' of a quadratic equation is a maxima or minima. You find this by differentiating the equation and setting the result equal to zero. You then solve this equation for x to give the x coordinate of the vertex. If you put this value back into the original equation, you find the y coordinate of the vertex.

     f(x) = 3x^2-10x+2

     f'(x) = 6x-10=0

     \therefore 6x=10

     \therefore x=\frac{10}{6} = \frac{5}{3}

    You could also find this minimum graphically I suppose. But that would probably rely on doing this process anyway.
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