Vertex of a Quadratic Function

Consider the function defined by the equation:

$$ f(x) = 2x^2 - 4x + 3 $$

Determine the value of $$ f(x) $$ at the vertex of the parabola represented by this function. To find the vertex of the quadratic function, you can use the vertex formula $$ x = -\f\frac{b}{2a} $$, where $$ a $$ and $$ b $$ are coefficients from the standard form of the quadratic equation $$ ax^2 + bx + c $$. Calculate the $$ y $$-coordinate of the vertex using the found value of $$ x $$.