Step 1:

The equation is $\"\"$ .

Compare the above equation with $\"\"$ .

Here $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ .

Amplitude is $\"\"$ .

Period is $\"\"$ .

Frequency is $\"\"$ .

Phase shift is $\"\"$ .

The parent graph of the function $\"image\"$ is :

Shrink the graph of $\"\"$ horizontally by a factor of $\"image\"$ units.

Shifts the graph of function $\"\"$ by $\"image\"$ units to the left.

Stretch the graph of function $\"\"$ vertically by a factor of 2 units.

Reflects the graph of the function $\"\"$ about x-axis.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Sketch the graph of $\"\"$ through these points, continue the pattern to complete two cycles.

Step 2:

Graph :

Graph the function $\"\"$ .

$\"\"$

Solution:

$\"\"$