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

1 Answer
Aug 31, 2017

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.