Plz help me its geometry

a).

b).

Step-by-step explanation:

From the graph attached,

There are two observations:

1). Function 'f' has been shifted by 2 units right and 1 unit down to form image function 'g'.

2). Function 'g' has been shifted 2 units left and 1 unit up to form image function 'f'.

Equation of the quadratic function 'f' is,

²

Equation of function 'g'.

²

Therefore, both the functions can be defined as,

a).

b).