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Math Help - Minimum distance from x axis

  1. #1
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    Lightbulb Minimum distance from x axis

    Hi, could anyone please guide me through this question:
    Find the minimum distance from a point on the positive
    x-axis (a, 0) to the parabola y2 = 8x.
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  2. #2
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    Quote Originally Posted by ninja View Post
    Hi, could anyone please guide me through this question:
    Find the minimum distance from a point on the positive x-axis (a, 0) to the parabola y2 = 8x.


    A general point in the parabola is of the form (\frac{y^2}{8},y), so use the formula for the distance between two points in the place to find the distance from (a,0) to a point in the parabola as above, and then derivate wrt y to find citical points and etc.

    Tonio
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  3. #3
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    I tried it but doesn't work out for me. can you please explain a little more??
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  4. #4
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    Quote Originally Posted by ninja View Post
    I tried it but doesn't work out for me. can you please explain a little more??
    Better yet, can you please show all the details of what you tried so that your trouble can be identified.
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