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Math Help - latus rectum of parabola

  1. #1
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    latus rectum of parabola

    Find the vertex and latus rectum of the parabola (y+3)^2 =2(x+2).... to find the vertex n latus rectum is easy through standard formula but the given formula is not in standard form so how can i convert into standard form..l
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  2. #2
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    Hello, Shivanand!

    Find the vertex and latus rectum of the parabola: (y+3)^2 \:=\:2(x+2)

    To find the vertex n latus rectum is easy through standard formula
    but the given formula is not in standard form . . . . It isn't?
    We are given: . (y+3)^2 \:=\:2(x+2)

    We already know:
    . . that the vertex is at (-2,-3)
    . . that the parabola opens to the right
    . . that p = \tfrac{1}{2}

    So the parabola looks like this:
    Code:
                  L     *
                  *
              *   :
            *     : 2p
           *      :
                  :
        V * - - - * F - - - - - -
              p   :
           *      :
            *     : 2p
              *   :
                  *
                  R     *
    The latus rectum is LR.

    I don't see any difficulty . . .

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