Find the focus directrix and focal diameter of the parabola

Find the focus, directrix, and focal diameter of the parabola. x - 7y^2 = 0 focus (x - y) = () directrix focal diameter

Solution

Solution:

y^2 = 4px , where the focus is (p, 0) and the directrix is x = - p
7y^2 = x
y^2 = (1/7)x
4p = 1/7
p = 1/28
focus at (1/28 , 0)

x = -1/28 => directrix

Focal diameter = 4p = |1/7| = 1/7