You can put this solution on YOUR website! I assume you want a graph. First, find the intercepts, then the vertex.
x-intercepts: 0=x(x-6) means x=0 or x=6
y-intercepts y=0
vertex will be -b/(2a) from form ax^2+bx+c=f(x). So x=3. This gives a corresponding y-value of y=9-18=-9. So (3,-9) is the vertex.
This is all the information you need to produce the following: