Question

Find the vertex, focus, directrix, and focal width of the parabola.

x = 3y2

Answer 1

the general form of this type of parabola is

y^2 = 4ax

where the focus is at (a,0) and the directrix is x = -a

Answer 2

your equation can be written as
y^2 = (1/3)x

Answer 3

so comparing this with the general for we have

4a = 1/3

do you understand this?

Answer 4

no ;(

Answer 5

what we are doing is comparing the 2 equations