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    rob2ert's Avatar
    rob2ert Posts: 2, Reputation: 1
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    #1

    Apr 25, 2011, 10:10 AM
    find the equation of the parabola. Find the two points that define the latus rectum.
    Focus at (0,2) vertex at (0,0)
    smoothy's Avatar
    smoothy Posts: 25,492, Reputation: 2853
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    #2

    Apr 25, 2011, 10:25 AM

    Read this first: Expectations for the Homework Help board
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    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
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    #3

    Apr 26, 2011, 10:40 AM
    The length of the L.R. is 4 times the distance from the focus to the vertex. It's centered on the focus, and it's oriented perpendicular to the line connecting the focus and the vertex. Since the focus and vertex fall in line vertically in this case, that means the L.R. is horizontal.

    So what's the distance between (0,2) and (0,0)? The length of the L.R. will be four times that length. So find two points who lie on a horizontal line, are centered at (0,2), and are spaced apart the appropriate length of the L.R.

    Reply with your answer, and we'll tell you if you got it right or give you more guidance if you need it.

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