For f(x) = x2 and g(x) = (x − 5)2, in which direction and by how many units should f(x) be shifted to obtain g(x)?
up 5 units
down 5 units
left 5 units
right 5 units

The vertex form of a parabolic is this: g(x) = a(x - h)2 + k where the (h,k) is the coordinates of the vertex.
For f(x) = x2, the vertex is (0,0). For g(x) = (x-5)2, the vertex is (5,0). Therefore f(x) is shifted

Right 5 units 

to obtain g(x)