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:
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 Answer: F (x) = (x-2) ^ 4 option D
