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:
- · The domain is IR
- · They are continuous functions.
- · Their graphs are parabolas.
- · If a > 0, the parabola’s arms point up, and if a < 0, they point down.
- · The bigger the absolute value of a is, the narrower the parabola.
- · 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