Consider the function $f(x) = 2x^2 - 8x + 5$. Determine the value of $x$ at which the function achieves its minimum value. Then, calculate this minimum value. Express your answer as a decimal in the grid-in format.
Recall that for a quadratic function of the form $f(x) = ax^2 + bx + c$, the vertex (which provides the minimum or maximum value) occurs at $x = -\f\frac{b}{2a}$.