Minimum Value of Function

Very Hard Algebra Functions

Consider the function defined by the equation:

$$ f(x) = 3x^2 - 12x + 5 $$

Determine the value of $$ x $$ for which $$ f(x) $$ has its minimum value. What is the minimum value of the function at this point?

The minimum occurs at $$ x = 2 $$ and the minimum value is $$ -7 $$.

The minimum occurs at $$ x = 2 $$ and the minimum value is $$ -3 $$.

The minimum occurs at $$ x = 1 $$ and the minimum value is $$ -4 $$.

The minimum occurs at $$ x = 3 $$ and the minimum value is $$ -9 $$.

The minimum occurs at $$ x = 2 $$ and the minimum value is $$ -8 $$.

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