Question

f(x)= 1(x-3)^2+31 in standard form!

Answer 1

that is actually the standard form
\[f(x)=a(x-h)^2+k\]
this is the form
and that's what you have

Answer 2

the standard form for a quadratic function is
f(x) = ax^2 + bx + c

you are thinking of "vertex form" @xapproachesinfinity