Answer
Vertically stretch by a factor of $4$, shift $4$ units to the left and $1$ unit down.
Work Step by Step
The graph of
$$
f(x)=\frac{4}{x+4}-1
$$ is similar to the graph of the parent function, $g(x)=\frac{1}{x}$, which is a decreasing curve located in Quadrants I and III. The graph of $f(x)$, though, is vertically stretched by a factor of $4$ which causes the curve to have a narrower opening and the points are shifted $4$ units to the left and $1$ unit down.
