Hey can you me posted picture of question

The parent function y = x⁴ has its base at the origin which means, its x-intercept is at the origin.

Comparaing the given graph with the graph of x⁴, we can say the given graph can be obtained by shifting x⁴ by 2 units to the right.

A shift in right direction can be obtained by subtracting a number from the x. The shift is 2 units, so the above graph can be obtained by following expression:

F(x) = (x-2)⁴ 

Thus, option D is the correct answer

Horizontal translations
 Suppose that h> 0:
 To graph y = f (x-h), move the graph of h units to the right.
 We have then that the original function is:
 G (x) = x ^ 4
 The new function is:
 F (x) = (x-2) ^ 4
 
 F (x) = (x-2) ^ 4
 option D