Find the Period of the Function $y = \frac { 1 } { 4 } \tan \left( \frac { x } { 2 } + \frac { \pi } { 8 } \right)$

Multiple Choice

Find the period of the function $y = \frac { 1 } { 4 } \tan \left( \frac { x } { 2 } + \frac { \pi } { 8 } \right)$

A) $2 \pi$
B) $4 \pi$
C) $\pi$
D) $8 \pi$
E) $\frac { \pi } { 2 }$