Question

What is a quadratic function?

Answer 1

General form of a quadratic function is `f(x)=ax^2+bx+c`

Explanation:

Is a function with this general expresion and his characteristics are

a) Is defined for all `x in RR`. So `Dom f = RR`
b) Plot is a parabola with y-intercept y in `(0, c)`
c) The x-intercepts depends on the value of discriminant `Delta` defined by `Delta=b^2-4ac`

If `Delta=0` only has a single x-intercept
if `Delta >0` has two x intercept
if `Delta<0` then has not any x-intercept

The branches of parabola are oriented upwards if `a>0` or downwards if `a<0`
The general look of this type of functions is as follows (particular case of `x^2-3x-3=f(x)`
graph{x^2-3x-3 [-12.66, 12.65, -6.33, 6.33]}
Hop this helps