1. The problem is to find the roots of the equation $y = x^2$ from the graph. 2. Roots of an equation are the values of $x$ for which $y = 0$. 3. Using the equation $y = x^2$, set $y$ to zero to find the roots: $$x^2 = 0$$ 4. Solve for $x$: $$x = 0$$ 5. This means the parabola touches the x-axis at $x = 0$, so the only root is $0$. 6. From the graph, this corresponds to the vertex at the origin where the parabola intersects the x-axis. Final answer: The root of the equation $y = x^2$ is $x = 0$.