Answer
$y=-|x+1|+3$.
Work Step by Step
Graph of absolute value function $|x|$ is reflected across the $x$-axis, moved one unit left and $3$ units up to get the given graph.
Reflection across $x$-axis $~\rightarrow~$ $-|x|$
Translation one unit left $~\rightarrow~$ $-|x+1|$
Translation $3$ units up $~\rightarrow~$ $-|x+1|+3$
So, the new equation is $y=-|x+1|+3$.
