#### Answer

$y=\frac{1}{2}|x+1|+3$

#### Work Step by Step

We begin with:
$f(x)=|x|$
We are told to shrink vertically by a factor of $\frac{1}{2}$, shift left 1 unit, and shift 3 units up. This means: $y=\frac{1}{2}f(x+1)+3$. Thus we get:
$y=\frac{1}{2}|x+1|+3$