Consider the function defined by $$ f(x) = 2x^2 - 8x + 5 $$.
Determine the value of $$ f(3) $$ and then calculate the value of $$ f(x) $$ at the point where the vertex of the parabola represented by the function lies.
Use the vertex formula $$ x = -\f\frac{b}{2a} $$ to find the x-coordinate of the vertex, and then substitute this value into the function to find the y-coordinate of the vertex.
Enter the y-coordinate of the vertex.