Question

2 of 4 questio
set the distance from the y - axis to the parabola equal t
the distance from the directrix to the parabola, and
simplify.
set the distance from the vertex to the parabola equal t
the distance from the focus to the parabola, and
simplify.
set the distance from the axis of symmetry to the
parabola equal to the distance from the directrix to the
parabola, and simplify.
set the distance from the focus to the parabola equal t
the distance from the directrix to the parabola, and
simplify.

Explanation:

A parabola is defined as the set of all points in a plane that are equidistant from a fixed point (focus) and a fixed line (directrix). So, to derive the equation of a parabola, we set the distance from the focus to a general point on the parabola equal to the distance from the directrix to that same point on the parabola and then simplify.

Answer:

Set the distance from the focus to the parabola equal to the distance from the directrix to the parabola, and simplify.