Answer
The function $y=2e^{-\frac{(x+4)^2}{3}}$ matches with the graph labeled (a).
Work Step by Step
y-axis intercept ($x=0)$:
$y=2e^{-\frac{(0+4)^2}{3}}\approx0$
The graph of $y=2e^{-\frac{(x+4)^2}{3}}$ increases if $x\lt-4$.
The graph of $y=2e^{-\frac{(x+4)^2}{3}}$ decreases if $x\gt-4$.
