1.) Given the <span>equation of a parabola

The vertex form of a parabola is given </span>by

where: (h, k) is the vertex and p is the distance between the vertex and the directrix.

From the equation, the vertex is

and the distance between the vertex and the directrix is 3.
Because, the x-part of the equation is squared and the value of p is positive, this means that the parabola opens up and the directrix is a horizontal line having the value y = c, where c is the y-value of the vertex - 3
Equation of the directrix is

Therefore, the equation of the directrix is

2.) Given the <span>equation of a parabola written in vertex form

The vertex form of a parabola is given </span>by

where: (h, k) is the vertex and p is the distance between the vertex and the directrix.

From the equation, the vertex is

and the distance between the vertex and the directrix is 4.
Because,
the y-part of the equation is squared and the value of p is positive,
this means that the parabola opens to the right and the directrix is a vertical
line having the value x = c, where c is the x-value of the vertex - 4
Equation of the directrix is

Therefore, the equation of the directrix is