Plot[{(*Sin[ 2 Pi u]^2, *)Cos[ 2 Pi u]^2}, {u, -1, 1}, (*Ticks -> None,*) Epilog->Table[Point[{u, 0}],{u,-1, 1, 1}]
]

Plot[{Sin[ 2 Pi u]^2(*, Cos[ 2 Pi u]^2*)}
, {u, -1, 1}(*, Ticks -> None *)
,Epilog->Table[Point[{u, 0}],{u,-1, 1, 1}]
]