The Parabola and Hyperbola Summary

The Parabola and the Hyperbola

Summary

the conic sections are formed when planes intersect cones.

this section studies the geometry of the parabola and the hyperbola.

the equations of these curves can be written in (x, y) form or as parametric equations, which involve a third variable, t is often used.

Key Skills

describe conic sections (parabola and hyperbola) and sketch their graphs:

  • transformation of an equation to standard form
  • translating of conic sections.

Vocabulary

parabola, hyperbola, conic sections, cone, parametric equation, directrix, focus, asymptote, vertex, rectangular hyperbola.