# Math Help - latus rectum of parabola

1. ## 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

2. 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: . $(y+3)^2 \:=\:2(x+2)$

. . 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 . . .