Graph at least two cycles of the following functions.

1. $f ( x ) = 3 \operatorname { sin } 2 ( x - \frac { \pi } { 4 } ) + 1$

   Hint (a):

   $\text{Amplitude}= 3$

   $\text{Period}=\pi$

   $\text{Vertical shift}=1$

   $\text{Horizontal shift =}\frac{\pi}{4}$

   Answer (a):

   

2. $g ( x ) = \frac { 1 } { 2 } \operatorname { cos } \frac { 1 } { 4 } ( x + \pi )$

   Hint (b):

   $\text{Amplitude = }\frac{1}{2}$

   $\text{Period}=8\pi$

   $\text{Horizontal shift }=-\pi$