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Q: What best describes a single fixed point that is the same distance from the parabola as the directrix is from the parabola?
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How many foci does a parabola have?

A parabola has a single focus point. There is a line running perpendicular to the axis of symmetry of the parabola called the directrix. A line running from the focus to a point on the parabola is going to have the same distance as from the point on the parabola to the closest point of the directrix. In theory you could look at a parabola as being an ellipse with one focus at infinity, but that really doesn't help any. ■


What are different parts of the parabola?

A parabola is a single curve: it does not have separate parts.


Which term best describes the set of all points in a plane that are a certain distance from the single point?

===> "circle", with center at the "single point" and radius of the "certain distance".


What term best describes the set of all points in a plane that are a certain distance from a single point?

Circle


Which term best describes the set of all points in a plane that are a certain distance from a single point?

Circle


How do you best describe a parabola?

The set of all points in a plane that are equidistant from a single point and a single line


Which geometric objects is defined as the set of all points in a plane equidistant from a single point and a single line?

A parabola.


Which geometric object is defined as the set of all points in a plane equidistant from a single point and a single line?

parabola


Does a parabola always have roots and a vertex?

Yes, a parabola always has a vertex. However, it may not always have roots. The roots of a parabola are the x-values where the parabola intersects the x-axis. It is possible for a parabola to have two, one, or no roots depending on the discriminant of the quadratic equation.


What describes as all the points on a plane that are the same distance from a single point called a center?

A circle or a sphere would fit the given description.


What term best describes the set of all points in a plane that are a certain distance from the a single point?

The answer will depend on what the "certain distances" are for each point.


What conic section is defined by the set of all points in a plane that are equidistant from a single point and a line?

It is a parabola.