Analytic Geometry

Virginia SOL MA.AG.1

Identify and analyze the properties of conic sections and sketch a graph given an equation.

What students need to be able to do

  • Given a translation or rotation matrix, determine an equation for the transformed function or conic section.
  • Convert between standard and general forms of conic equations by completing the square.
  • Graph conic sections from equations written in general or standard form using transformations.
  • Identify characteristics of conic sections including center, vertices, axes, symmetry, foci, directrix, eccentricity, and asymptotes.
  • Represent applications of conic sections.