5. Which of the following graphs accurately displays a parabola with its directrix and focus?

2 and 4

Step-by-step explanation:

The directrix and the focus are equidistant from the vertex.

The focus is inside the parabola while the directrix is outside.

The directrix does not intersect the graph thus NOT 1

In graph 2

The focus is 5 units from the vertex as is the directrix on the other side.

In graph 3

The focus is 1 unit from the vertex while the directrix is 3 ← not equidistant

In graph 4

The focus and directrix are both 1 unit from the vertex

The graphs showing the correct positions of focus and directrix are 2 and 4