The function is .

The function is a cosine function.

The standard form of the cosine function is .

Graph :

Graph of the sine function  :

The function is .

Now substitute  instead of  in the cosine function.

.

So .

Horizontal shrink: , shrink the graph of  horizontally by a factor of .

Therefore,  is the graph of  horizontally shrink by a factor

of .

Graph :

Graph of the function .

(1) Draw the coordinate plane.

(2) Graph of the function .

(3) Shrink the graph of  horizontally by a factor of .

The function is .

The function is a modulus function.

For a modulus function, all negative values of  are considered as positive.

So the portion of below axis is reflect about the axis.

Graph :

Graph of the function  :

(1) Draw the coordinate plane.

(2) Graph of the function .

(3) The portion  below axis is reflected about the axis.

Graph of the function  is

.