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Math Help - Focus, directrix, and axis of the parabola

  1. #1
    Member
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    Focus, directrix, and axis of the parabola

    Find the focus, directrix, and axis of the parabola with equation:
    a) x^2 = 12y
    b) x^2 = 16y

    It gives me a list to choose from (I can choose more than one).

    Possible Answers for a:
    (3,0), x = 3, x-axis
    (0,3), y = -3, y-axis
    (3,0), y = 3, y-axis
    (0,-3), x = -3, x-axis

    Possible answers for b:
    (4,0), x = 4, x-axis
    (0,4), y = -4, y-axis
    (4,0), y = 4, y-axis
    (0,-4), x = -4, x-axis

    For both questions, I think the answers are options 2 and 3, but I am not sure.
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  2. #2
    MHF Contributor
    Joined
    Mar 2007
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    1,240

    Talking

    How did you arrive at your answer choices? What was your reasoning?

    Please be complete. (We can't find any errors in your work until we can see your work.) Thank you!
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