Question 261736
If it has roots 0 and 1, then it has a form 

{{{x*(x-1)+C = 0}}}

The value in the vertex point is given so that you can find out what C is. 

So you have, for {{{x=1/2}}}: {{{(-1/2)*(1-(-1/2))+C = 2}}}

You just need to solve this for C:

*[invoke explain_simplification "(-1/2)*(1-(-1/2))+C = 2" ]

Since the solver found this out for us, and explained why, here ghoes:

{{{x(x-1)+2.75=0}}}, or

{{{x^2 - x + 2.75 = 0}}}