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Math Help - Help me out with this problem

  1. #1
    rdoria91
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    Help me out with this problem



    y+2x = 4x^2

    What are the coordinates of the vertex?

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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by rdoria91 View Post


    y+2x = 4x^2

    What are the coordinates of the vertex?

    y + 2x = 4x^2

    y = 4x^2 - 2x

    Complete the square:
    y = 4 \left ( x^2 - \frac{1}{2}x \right )

    y = 4 \left ( x^2 - \frac{1}{2}x + \frac{1}{16} \right ) - 4 \cdot \frac{1}{16}

    y = 4  \left ( x - \frac{1}{4} \right )^2 - \frac{1}{4}

    What is the vertex point?

    -Dan
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