$\"\"$

The equation correspond to the graph is $\"\"$ .

Observe the graph :

The distance from the maximum to the minimum value of the function is $\"\"$

Half of the distance from the maximum to the minimum value of the function is $\"\"$

So the amplitude is $\"\"$ .

Period $\"\"$

Here the function completes one period on $\"\"$ .

Substitute Period $\"\"$ in Period $\"\"$ .

$\"\"$

The midline appears at $\"\"$ , there is vertical shift $\"\"$ units down.

Since the midline appears at $\"\"$ , the value of $\"\"$ .

Since there is no phase shift, the value of $\"\"$ .

Substitute $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

$\"\"$

The equation correspond to the graph is $\"\"$ .

$\"\"$

The equation correspond to the graph is $\"\"$ .