$\"\"$

The amplitude $\"\"$ .

The time period $\"\"$ .

An object that moves on a coordinate axis so that the distance $\"\"$ from its rest position at time $\"\"$ , then the function is $\"\"$ .

The object starts at a vertical position, so $\"\"$ .

$\"\"$

Substitute $\"\"$ .

$\"\"$

$\"\"$ .

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

$\"\"$ .

The function is $\"\"$ .

$\"\"$

The function is $\"\"$ .