a
y $=0.25 \sin (10 \pi x-2 \pi t) $
$ y_{\max } $$=0.25 $
$k=\frac{2 \pi}{\lambda}=10 \pi \Rightarrow \lambda=0.2 \mathrm{m}$
$\omega=2 \pi f=2 \pi \Rightarrow f=1 \mathrm{Hz}$
The sign is negative inside the bracket. Therefore this wave travels in the positive $x -direction$