$\"\"$

(a)

The parent function is $\"\"$ .

Because the graph of the function $\"\"$ is :

$\"$

Let $\"\"$ be the function of given graph.

Observe the two graphs f and g, the graph of g is a reflection in the x - axis followed by an upward shift of one unit of the graph of $\"\"$ .

Thus, the equation of the graph is $\"\"$ .

$\"\"$

(b)

The parent function is $\"\"$ .

Because the graph of the function $\"\"$ is :

$\"$

Let $\"\"$ be the function of given graph.

Observe the graphs f and g : \ \

The graph of g is horizontal shift of one unit to the right followed by an upward shift of one unit of the graph $\"\"$ .

Thus, the equation of the graph is $\"\"$ . $\"\"$

(c)

The parent function is $\"\"$ .

Because the graph of the function $\"\"$ is :

$\"$

Let $\"\"$ be the function of given graph.

Observe the two graphs f and g :

The graph of g is a horizontal shift of three units to the left followed by a reflection in the x - axis followed by a downward shift of one unit of the graph $\"\"$ .

Thus, the equation of the graph is $\"\"$ . $\"\"$

(d)

The parent function is $\"\"$ .

Because the graph of the function $\"\"$ is :

$\"$

Let $\"\"$ be the function of given graph.

Observe the two graphs of f and g :

The graph of g is a horizontal shift of ten units to the right followed by a downward shift of four units of the graph $\"\"$ .

Thus, the equation of the graph is $\"\"$ . $\"\"$

(a) $\"\"$ .

(b) $\"\"$ .

(d) $\"\"$ .