Finding Roots of a Quadratic Function

Consider the quadratic equation given by the function $f(x) = 2x^2 - 4x + 1$. You need to find the x-coordinates where this function equals zero. In other words, solve for $x$ in the equation $f(x) = 0$. In order to determine the roots of the quadratic equation, you can utilize the quadratic formula:

$$ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $$

where $a$, $b$, and $c$ are the coefficients of the terms in the standard form of the quadratic equation $ax^2 + bx + c = 0$. Identify the correct x-coordinates for $f(x)$ as it intersects the x-axis and enter your answers in the grid below.