The function you've provided is:

$f(x) = x^2 - 12$

This is a quadratic function. Would you like to find its:

1. Vertex?
2. Roots (x-intercepts)?
3. Derivative?
4. Graph or general behavior?
5. Maximum or minimum values?

Let me know if you need help with any of these! Here's a tip: For quadratic functions in the form $f(x) = ax^2 + bx + c$, the vertex $x$-coordinate is given by $x = -\frac{b}{2a}$.