Question

Which statements describe a parabola? Check all that apply.

A parabola is the set of all points equidistant from the directrix and focus.
The fixed line is called the vertex of a parabola.
The focus is a fixed point inside the parabola.
The line of symmetry intersects the focus and directrix.
The line of symmetry and the directrix are perpendicular.
The parabola intersects the directrix.

Answer 1

1, 3, 4, and 5 are the correct answers.

2 and 6 are not.

Answer 2

First, third, fourth and fifth statements describe a parabola

Explanation:

The correct statements are:

A parabola is the set of all points equidistant from the directrix and focus.

The focus is a fixed point inside the parabola.

The line of symmetry intersects the focus and directrix.

The line of symmetry and the directrix are perpendicular.