Focus and Directrix of a Parabola Quiz

What is the definition of a parabola in terms of its focus and directrix?

• A parabola is the set of all points that are equidistant from a fixed point and a fixed line.

• A parabola is the set of all points that are closer to the focus than to the directrix.

• A parabola is defined as the set of points where each point is twice as far from the focus as it is from the directrix.

• A parabola is a curve where each point is at a fixed distance from the directrix.

How do you find the vertex of a parabola given its focus and directrix?

• The vertex is the midpoint between the focus and the directrix.

• The vertex is located at the focus.

• The vertex is where the parabola intersects the directrix.

• The vertex is the highest or lowest point of the parabola, depending on its orientation.

• Upwards

• Downwards

• To the right

• To the left

What is the standard form equation of a parabola that opens upwards or downwards?

• Both A and C are correct.

How does the distance between the focus and directrix affect the width of a parabola?

• Increasing the distance makes the parabola wider.

• Increasing the distance makes the parabola narrower.

• The distance does not affect the width of the parabola.

• The width of the parabola is only affected by the orientation of the directrix.