Find the intersection points of the parabola

Student B is correct.

Step-by-step explanation:

To construct a parallel line following steps should be followed,

1). Draw a line that intersects at B and C.

2). Place a compass at point B and swing an arc that crosses line AB and BC.

   Label the points D and E.

3). Keep the compass at the same width and place it on point C.

4). Swing an arc that crosses line BC at F.

5). Open the compass to the width between points D and E.

6). Keeping the compass at the same width, place it on point F.

7). Swing an arc that intersect the arc created from line BC at point C.

8). Mark the intersection of two arcs as point G.

9). Draw a line through point C and G.

Student B is correct.