$\"\"$

The graphs of $\"\"$ and $\"\"$ , where $\"\"$ will have the following characteristics :

Amplitude : $\"\"$ .

Period : $\"\"$ .

Horizontal translation : $\"\"$ .

Vertical translation : $\"\"$ .

$\"\"$

The trigonometric function is $\"\"$ .

Compare the function with $\"\"$ .

Vertical translation : $\"\"$ .

Since $\"\"$ , the graph translated vertically 2 units upward.

$\"\"$

The graph translated vertically 2 units upward.