Minimum Value of a Quadratic Function

Consider the quadratic function defined by the equation:

$$ f(x) = 2x^2 - 8x + 6 $$

To find the minimum value of this function, you need to find the vertex of the parabola represented by this equation. Recall that the x-coordinate of the vertex for any quadratic function of the form $$ ax^2 + bx + c $$ can be found using the formula:

$$ x = -\f\frac{b}{2a} $$

What is the minimum value of the function $$ f(x) $$ when evaluated at this x-coordinate? Please enter your answer as a decimal.