The parabola is y² = 6x
This defines a parabola with its vertex at the origin (0,0).
When the equation is compared with y² = 4ax, then
4a = 6
a = 3/2
Therefore the focus is at
(a, 0) = (3/2, 0)
The directrix is located at
(-a, 0) = (-3/2, 0)
The parabola opens right because a > 0.
Answer:
The directrix is x = - 3/2.
The parabola opens right.