Review for Conic Sections

Front

What is a conic section?

Back

A conic section is a curve obtained by intersecting a cone with a plane. The four types of conic sections are circles, ellipses, parabolas, and hyperbolas.

Front

What is the standard equation of a circle?

Back

Front

What is the standard equation of an ellipse?

Back

Front

What is the standard equation of a hyperbola?

Back

Front

What is the standard equation of a parabola?

Back

Front

How do you find the focus of a parabola given its equation?

Back

Front

What is the definition of the directrix of a parabola?

Back

The directrix of a parabola is a line perpendicular to the axis of symmetry, located at a distance p from the vertex, opposite to the focus.

Front

What are the foci of an ellipse?

Back

Front

What is the relationship between the axes of an ellipse?

Back

In an ellipse, the length of the major axis is 2a and the length of the minor axis is 2b, where a > b.

Front

How do you determine the vertex of a parabola from its equation?

Back