Answer:
Step-by-step explanation:
There is a y² term, so the parabola is horizontal.
Vertex-form equation for a horizontal parabola:
x = a(y-k)² + h, where (h,k) is the vertex
If a>0, then
the parabola opens to the right
focal length p = 1/(4a)
focus (h+p,k)
directrix: x=h-p
endpoints of latus rectum: (h+p,k±2p)
Put equation into vertex form.
x = (1/12)y²
vertex (0,0)
focal length p = 1/(4·1/12) = 3
focus (0+p,0) = (3,0)
directrix: x = 0-p = -3
endpoints of latus rectum: (3,±6)
