Question

All points on a parabola are equidistant from the parabola's focus and the parabola's directrix. The _____ is the point on the parabola where these distances are smallest. Group of answer choices Directrix Focus Vertex Conic Section

Answer 1

The vertex is the point on the parabola where these distances are the smallest.

Explanation:

All points on a parabola are equidistant from the parabola's focus and the parabola's directrix.

Now, the vertex is the point on the parabola where these distances are the smallest.

This is because if we draw a straight line through the vertex and the focus then it will be the axis of the parabola and axis of parabola is perpendicular to the directrix of the parabola and we know that the perpendicular distance of a point from a line is the minimum distance. (Answer)