Answer
$\frac{\pi}{4}$; left
Work Step by Step
The horizontal translation of the graph of the function $y=f(x-d)$ is $|d|$ units to the left compared to the graph of $y=f(x)$ if $d\lt0$.
Therefore, the graph of $y=\sin(x+\frac{\pi}{4})$ is obtained by shifting the graph of $y=\sin x$
$\frac{\pi}{4}$ unit to the left.