Rewrite f(x) = 3(x − 2)2 + 1 from vertex form to standard form.

F(x) =3(x-2)² +1. or y =3(x-2)² +1 This is a parabola function and its standard form is:

(y-k) =a(x-h)²

From the original equation, y =3(x-2)² +1, subtract 1 from both sides:
y - 1 = 3(x-2)² +1 -1, simplify:

y -1 = 3(x-2)² . This is the standar form