The diagram above shows a family of parabolic curves. The function describing this family has a variable n apart from the usual x and y. The graph of specific parabolas with n=1,n=2 and n=3 are shown. Identify the function representing the family of functions for n
≥
1
?

A
f
(
x
)
=
x
2
+
n

B
f
(
x
)
=
n
x
2

C
f
(
x
)
=
(
x
−
n
)
2

D
f
(
x
)
=
1
n
x
2

E
f
(
x
)
=
−
n
x
2