Properties and graphs of quadratic functions
Topic Notes
Three properties that are universal to all quadratic functions: 1) The graph of a quadratic function is always a parabola that either opens upward or downward (end behavior); 2) The domain of a quadratic function is all real numbers; and 3) The vertex is the lowest point when the parabola opens upwards; while the vertex is the highest point when the parabola opens downward.
Basic Concepts
- Factoring trinomials
- Solving quadratic equations using the quadratic formula
- Completing the square
- Shortcut: Vertex formula