Step 1:

(a) The parent function is $\"\"$

$\"\"$

Compare it to $\"\"$

$\"\"$

Amplitude $\"\"$

Period $\"\"$

$\"\"$ $\"\"$

The left and right end points of one cycle interval determined

Solve the equations $\"\"$ and $\"\"$

$\"\"$

The graph of g is obtained by a horizontal shrink of four and one cycle of g corresponding to the interval $\"\"$ .

Graph:

$\"\"$

Step 2:

(b) Graph of $\"\"$ .

Amplitude = 1

Period $\"\"$

Make a table to find the solutions that satisfies equations.

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

Draw the coordinate plane.

Plot the points found in the table and connect the curve.

$\"\"$

$\"\"$ .