# How do you sketch y=x(x-1)?

There are two ways to make $y = 0$ when $y = x \left(x - 1\right)$: Either $x = 0$ or $x - 1 = 0$. Therefore, your solutions (aka zeros) are on the $x$ axis at $x = 0$ and $x = 1$.
Your function may also be written like this: $y = {x}^{2} - x$. Since the ${x}^{2}$ term is positive, your parabola opens up, and you get the graph above.