famela
Nov 11, 2010, 09:03 AM
find the vertex focus latus rectum and directrix
y^2=20x
(y=0)^2=20(x-0)
galactus
Nov 11, 2010, 05:24 PM
This parabola has the form
y^{2}=4px
Where p is the distance from the vertex to the focus and from the vertex to the directrix.
Since 4p=20, p=5
The vertex is at the origin and the parabola opens right. So, where does that place the focus?
The directrix?
The latus rectum is a line segment that passes through the focus, is parallel to the directrix and has its endpoints on the parabola. It's length is |4p|.