(a)

The function is .

The highest power of x in is 2.

So, the parent function is square function.

The equation of parent function is .

(b)

The function after transformation is and the parent function is .

The graph of g is a horizontal shift of eight units to the right of the graph of .

The sequence of transformation from f to g is " Horizontal shift of eight units to the right ".

(c)

The function is .

Graph the function .

Graph :

(d)

The transformation function is and the parent function is .

Substitute in above function.

.

Thus, the function g in terms of f is .

(a)

.

(b)

The sequence of transformation from f to g is " Horizontal shift of eight units to the right ".

(c)

Graph :

(d) .