Find g(x), where g(x) is the translation 5 units right of f(x)=x2.

Answer 1

x^2 shifted right 2 units is (x-2)^2

g(x) = x^2 -4x + 4

g(x) = (x-2)^2 + 0 where vertex is (2,0) which is the f(x) vertex shifted right 2 units

it might help to see this if you graph the parabolas and visually "see" the vertex shifted 2 units right