5. Which of the following graphs accurately displays a parabola with its directrix and focus?
![5 Which of the following graphs accurately displays a parabola with its directrix and focus class=](https://us-static.z-dn.net/files/da8/e95a217b3ea0385111e6d04bf2232511.png)
Answer:
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