4. Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.
Given, a parabola with equation
This is parabola of the form which opens downwards.
So,
By comparing the given parabola equation with the standard equation, we get,
Hence,
Coordinates of the focus :
Axis of the parabola:
It can be seen that the axis of this parabola is Y-Axis.
The equation of the directrix
The length of the latus rectum:
.