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    Senior Member euclid2's Avatar
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    function help

    Find the minimum value of the quadratic y = 2x2 - 8x + 8. At what x-value does the minimum occur? State the domain and range of this function.
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    Quote Originally Posted by euclid2 View Post
    Find the minimum value of the quadratic y = 2x2 - 8x + 8. At what x-value does the minimum occur? State the domain and range of this function.
    This is a parabola faces upwards, so the minimum point is going to be the vertex of the parabola. Write the equation in the form of y=(x-h)^2+k then the vertex is the point (h,k). The domain is all possible values of x, which you should see quickly. The range is the values of y covered by this graph - you know this graph has a minimum, so that's one bound of the range. Is there a maximum value?
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    Senior Member euclid2's Avatar
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    Quote Originally Posted by Jameson View Post
    This is a parabola faces upwards, so the minimum point is going to be the vertex of the parabola. Write the equation in the form of y=(x-h)^2+k then the vertex is the point (h,k). The domain is all possible values of x, which you should see quickly. The range is the values of y covered by this graph - you know this graph has a minimum, so that's one bound of the range. Is there a maximum value?
    The vertex i get is (2,0), is this correct?
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