Consider the function defined by the equation:
$$f(x) = 3x^2 - 12x + 7$$
To find the x-coordinate of the vertex of the parabola represented by this function, use the formula:
$$x = -\frac{b}{2a}$$
where $$a$$ is the coefficient of $$x^2$$ and $$b$$ is the coefficient of $$x$$ in the standard form of the quadratic equation. Calculate the value of $$f(x)$$ at this x-coordinate, which will give you the minimum point of the function.