Question

A parabola is drawn on the plane. Build its axis of symmetry with the help of a compass (drawing tool) and a ruler.?

Answer 1

Please see below.

Explanation:

Draw two parallel chords `a` and `b` of the given parabola.

Join their mid points so as to get the line `m`. Note that this line joining the mid points is parallel to axis of symmetry.

Now draw another line `n` perpendicular to `m` and cutting parabola in two point and find the midpoint of the segment intercepted by it.

Draw a line `A`, parallel to `m` through midpoint of the segment. This is the Axis of Symmetry of the parabola.