Question 926885
You can find the axis of symmetry in the middle of the roots, and then evaluate the expression at that x value.  Fill in the standard form equation parts.  VERTEX form and STANDARD form are the same thing.


Roots:   0 and 4.
MIDDLE is axis of symmetry:  x=2.
The function at x=2:  {{{-0.5(2)(2-4)=-1*(-2)=2}}}.


Function  {{{highlight(f(x)=(-0.5)(x-2)^2+2)}}}.


Multiply and simplify the function definition if you want general form.