Hyperbolas and Ellipses

Front

What is the standard form of the equation of an ellipse centered at the origin?

Back

Front

What is the standard form of the equation of a hyperbola centered at the origin?

Back

Front

What is the definition of a conic section?

Back

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

Front

How do you determine if an equation represents an ellipse or a hyperbola?

Back

Front

Back

The center of the ellipse is the point (h, k).

Front

What is the distance between the foci of a hyperbola?

Back

Front

What is the definition of the major axis of an ellipse?

Back

The major axis is the longest diameter of the ellipse, passing through the foci.

Front

What is the definition of the minor axis of an ellipse?

Back

The minor axis is the shortest diameter of the ellipse, perpendicular to the major axis.

Front

How do you find the vertices of a hyperbola?

Back

Front

What is the relationship between the semi-major axis (a), semi-minor axis (b), and the distance to the foci (c) in an ellipse?

Back