3.6. Quadratic functions

Quadratic functions

The analytical expression of a linear function is a second degree polynomial equation: f(x) = ax^2 + bx + c.
What you need to know about quadratic functions:
  1. ·      The domain is IR
  2. ·      They are continuous functions.
  3. ·      Their graphs are parabolas.
  4. ·      If a > 0, the parabola’s arms point up, and if a < 0, they point down.
  5. ·      The bigger the absolute value of a is, the narrower the parabola.
  6. ·      In order to draw the graph you can follow the next steps:

         a) Find the abscissas of the vertex: – b / 2a
         b) Find a few points close to the vertex
         c) Find where the parabola intersects with the axis
         d) Graph the parabola