Find the coordinates of the focus, the lenth of the lactus rectum and coordinates of its endpoints and the equation of the directrix, then sketch each curve of 2y^2=8x.

Answer 1

You have

y^2 = 4x

This is just the standard equation

y^2 = 4px

with p=1. Check your book or online for properties of parabolas. You can start here if you wish:

http://www.wolframalpha.com/input/?i=parabola+y%5E2+%3D+4x