(a)

The function is .

Function graph is

Let g(x) be the function of given graph.

Observe the point from two graphs f and g as follows:

The graph of g is a vertical shift of three units to the down of the graph .

So, the equation for g is .

The equation of graph is .

The function is .

Function graph is

Let g(x) be the function of given graph.

Observe the point from two graphs f and g as follows:

The graph of g is a horizontal shift of one unit to the left followed by a down ward shift of seven units of the graph of .

So, the equation for g is .

The equation of graph is .

The function is .

Function graph is

Let g(x) be the function of given graph.

Observe the points from two graphs f and g as follows:

The graph of g is a horizontal shift of five units to the right followed by a reflection in the x - axis followed by an upward shift of five units of the graph of .

So, the equation for g is .

The equation of graph is .