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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Nonlinear Systems and the Conic Sections

Learning Objectives


Chapter 13 - Nonlinear Systems and the Conic Sections

  1. Solving Nonlinear Systems of Equations by Elimination
  2. Applications with Nonlinear Systems of Equations
  3. The Geometric Definition of a Parabola
  4. Developing the Equation of a Parabola
  5. Parabolas in the Form y = a(x - h)2 + k
  6. Finding the Vertex, Focus, and Directrix of a Parabola
  7. Axis of Symmetry of a Parabola
  8. Changing Forms of a Parabola
  9. Developing the Equation of a Circle
  10. Equations Not in Standard Form
  11. Systems of Equations
  12. The Ellipse
  13. The Hyperbola
  14. Graphing a Second-Degree Inequality
  15. Systems of Inequalities