Question

Hey can you please help me posted picture of question

Answer 1

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

Answer 2

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