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.