What is the definition of a parabola

The video tutorial begins with a review of parabolas, discussing their general and vertex forms. It then provides a definition of a circle as a set of equidistant points from a center. This concept is used to introduce the definition of a parabola as a set of points equidistant from a focus and a directrix. The tutorial emphasizes understanding the geometric definition of a parabola beyond its algebraic forms.

Which of the following represents the general form of a quadratic equation?

• y = aX^3 + bX^2 + c

• y = aX + b

• y = aX^2 + bX^2 + c

• y = aX^2 + bX + c

What is the vertex form of a quadratic equation?

• y = a(X - h)^2 + k

• y = aX^2 + bX + c

• y = aX + b

• y = a(X + h)^2 - k

How is a circle defined in terms of its points?

• A set of points equidistant from a line

• A set of points equidistant from a vertex

• A set of points equidistant from a point

• A set of points equidistant from a center

What is the focus in the context of a parabola?

• A point equidistant from the directrix

• A line equidistant from the vertex

• A point equidistant from the vertex

• A line equidistant from the parabola

In the definition of a parabola, what is the directrix?

• A point equidistant from the focus

• A line equidistant from the focus

• A point equidistant from the vertex

• A line equidistant from the vertex