#### Answer

$x = 0$ has multiplicity 1 (odd).
The graph crosses the x-axis.
$x = -2$ has multiplicity $2$ (even).
The graph touches the x-axis and turns around.

#### Work Step by Step

Multiplicity and x-Intercepts:
If $r$ is a zero of a polynomial f(x), then $(x-r)^{k}$ is a factor in the full factorization of f.
The exponent $k$ indicates the multiplicity of $r$.
If $r$ is a zero of even multiplicity, then the graph touches the x-axis and turns around at $r$.
If $r$ is a zero of odd multiplicity, then the graph crosses the x-axis at $r$.
------------------
Begin factoring by factoring x out of the expression for f(x)
$f(x)=x(x^{2}+4x+4)$
... recognize a square of a sum...
$f(x)=x(x+2)^{2}$
Zeros: $0$ and $-2.$
$x = 0$ has multiplicity 1 (odd).
The graph crosses the x-axis.
$x = -2$ has multiplicity $2$ (even).
The graph touches the x-axis and turns around.