Question

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

Answer 1

Plot your solutions at x=0 and x=1 and draw a parabola through them. graph{x(x-1) [-10, 10, -5, 5]}

Explanation:

"Sketch" generally means "give a rough idea of what the graph will look like by plotting the zeros and drawing the shape of the function".
There are two ways to make `y=0` when `y=x(x-1)`: 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.