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Question 1087427: Sketch the graph and identify focus, directrix, vertex, latus rectum and axis of symmetry: y^2 = -25x
Thank you very much!
Answer by Edwin McCravy(20059) (Show Source):
You can put this solution on YOUR website! This is exactly like the other one I did for you, except
it opens left instead of right. Hey, you've got to learn this
stuff, because you have to pass the tests all by yourself.
has vertex (h,k), and distance from vertex to both focus
and directrix is |p|. If p is negative the parabola opens
leftt with the vertical directrix is |p| units right of the
vertex and the focus is |p| units left of the vertex.
has vertex (0,0), and distance from vertex to both focus
and directrix is |-25/4| or 25/4. Since -25/4 is negative the
parabola opens left with the vertical directrix 25/4 units
right of the vertex and the focus is 25/4 left of the vertex.
So the focus is 25/4 units left of vertex (0,0) which is (-25/4,0),
and the directrix is a vertical line 25/4 units right of the
vertex (0,0) which is the vertical line x = 25/4
Edwin
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