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 with center (h, k) and radius r?

Back

Front

What is the definition of a parabola?

Back

A parabola is the set of all points equidistant from a fixed point called the focus and a fixed line called the directrix.

Front

What is the focus of a parabola?

Back

The focus is a fixed point located inside the parabola that helps define its shape.

Front

What is the directrix of a parabola?

Back

The directrix is a fixed line used in the definition of a parabola, which is perpendicular to the axis of symmetry.

Front

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

Back

Front

How do you find the vertex of a parabola given its equation in standard form?

Back

Front

What is the equation of an ellipse with center (h, k), semi-major axis a, and semi-minor axis b?

Back

Front

What is the definition of an ellipse?

Back

An ellipse is the set of all points where the sum of the distances from two fixed points (foci) is constant.

Front

What is the standard form of a hyperbola?

Back