Finding the Minimum Value of a Quadratic Function

Consider the function defined by the equation:

$$ f(x) = 3x^2 - 12x + 7 $$

Determine the value of $$x$$ for which the function $$f(x)$$ reaches its minimum value.

Once you have found this value of $$x$$, calculate $$f(x)$$ at this point and round your answer to three decimal places. Enter your final answer in the grid below as a decimal (e.g., if your answer is 5/4, enter 1.25).