Step 1:

The graph of the function is in the form of $\"\"$ ,

where $\"\"$ is amplitude and $\"\"$ is the shift along $\"\"$ -axis.

Observe the graph.

The difference between the maximum height and the minimum height is twice of the amplitude of the function.

$\"\"$

The amplitude of the function is $\"\"$ .

Step 2:

Shift along $\"\"$ -axis is the average of the two heights.

$\"\"$

$\"\"$ .

Shift along $\"\"$ -axis is $\"\"$ .

Substitute the values $\"\"$ and $\"\"$ in the function $\"\"$ .

$\"\"$ .

Solution:

The function is $\"\"$ .