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17 July, 00:07

A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix?

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Answers (2)
  1. 17 July, 00:26
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    Your answer would be the second option.
  2. 17 July, 00:31
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    The standard equation for a parabola that opens upward parallel to the y-axis is x2=4ay, where a = distance from the vertex to focus. Vertex is at origin (0,0)

    4a=2

    a=2/4

    a=1/2 or 0.5

    the coordinate of the focus is (0, 1/2)

    the equation of the directrix is y=-1/2
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