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(a)

The function is $\"\"$ .

The parent function $\"\"$ and its increasing intervals $\"\"$ and decreasing interval $\"\"$ .

The graph of $\"\"$ is a reflection in the y - axis (multiply the x - coordinate by negative one) of the graph of $\"\"$ .

The transformation function $\"\"$ and its increasing intervals $\"\"$ and decreasing interval $\"\"$ .

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(b)

The function is $\"\"$ .

The parent function $\"\"$ and its increasing intervals $\"\"$ and decreasing interval $\"\"$ .

The graph of $\"\"$ is a reflection in the x - axis (multiply the y- coordinate by negative one) of the graph of $\"\"$ .

The transformation function $\"\"$ and its increasing intervals $\"\"$ and decreasing interval $\"\"$ . $\"\"$

(c)

The function is $\"\"$ .

The parent function $\"\"$ and its increasing intervals $\"\"$ and decreasing interval $\"\"$ .

The graph of $\"\"$ is a vertical stretch (multiply each y - value by $\"\"$ ) of the graph of $\"\"$ .

The transformation function $\"\"$ and its increasing intervals $\"\"$ and decreasing interval $\"\"$ .

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(d)

The function is $\"\"$ .

The parent function $\"\"$ and its increasing intervals $\"\"$ and decreasing interval $\"\"$ .

The graph of $\"\"$ is a horizontal shift of one unit to the right (add one to each x - coordinate) followed by a reflection in the x - axis (multiply the each y- coordinate by negative one) of the graph of $\"\"$ .

The transformation function $\"\"$ and its increasing intervals $\"\"$ and decreasing interval $\"\"$ .

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(e)

The function is $\"\"$ .

The parent function $\"\"$ and its increasing intervals $\"\"$ and decreasing interval $\"\"$ .

The graph of $\"\"$ is a horizontal shift of two units to the right (add two to each x - coordinate) followed by an upward shift of one unit (Add one to each y - coordinate) of the graph of $\"\"$ .