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28 August, 15:44

Find the vertex, focus, directrix, and focal width of the parabola. x = 4y2.

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  1. 28 August, 17:31
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    - Vertex : (0, 0).

    - Focus: (p/2, 0);

    y² = 1/4 x

    y² = 2 p x ⇒ 2 p = 1/4

    p = 1/8

    p/2 = 1/16

    F (1/16, 0)

    - Directrix:

    x = - p/2 x

    x = - 1/16 x

    - The focal length:

    2 p = 2 · 1/8 = 1/4
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