Question 533857
To find the points where the parabola intersect the x-axis, we solve the equation:

{{{3x-x^2=0}}} by factoring {{{x(3-x)=0}}} x=0 and x=3. Thus the parabola 

intersect the x-axis at the points: (0, 0), and (3, 0)

See the graph below:

{{{ graph(300, 300, -5, 5, -5, 5, 3x-x^2)}}}