$\"\"$

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

Amplitude : $\"\"$ .

Period : $\"\"$ .

Horizontal translation : $\"\"$ .

Vertical translation : $\"\"$ .

$\"\"$

The trigonometric function is $\"\"$ .

Rewrite the function as $\"\"$ .

Compare the function with $\"\"$ .

$\"\"$ .

Since $\"\"$ , the horizontal translation is $\"\"$ units left.

Draw a coordinate plane.

Graph the functions in the same axis.

Graph : \ \

$\"graph$

Observe the graph of the functions :

The graph of $\"\"$ is the graph of $\"\"$ is shifted horizontally left $\"\"$ units.

$\"\"$

Graph :

$\"graph$

The graph of $\"\"$ is the graph of $\"\"$ is shifted horizontally left $\"\"$ units.