Question 730844
The points given will suggest that the vertex is for x=3/2.  This is because of parabola having left-right symmetry.  (1, 1) and (2, 1) are equally spaced about the axis of symmetry.  The standard form equation will be something like y=a(x-3/2)^2+k.  This equation has two unknowns and you will use two of the given points to make a system of two equations and two unknown variables, and then solve the system for those variables.


Form the system from these three:
{{{a(0-3/2)^2+k=9}}}
{{{a(1-3/2)^2+k=1}}}
{{{a(2-3/2)^2+k=1}}}