Question

Hey can you please help me posted picture of question

Answer 1

The correct answer is the las option (Option D), which is:

 D. f(x)=(x+4)^4

 The explanation is shown below:

 1. The initial function was G(x)=x^4, whose graph shows that the shape has its vertex at 0,0.
 
 2. If the it was shift 4 units to the left, you only has to add a 4 to the function.

 3. Therefore, you obtain the the equation of the final shape is:

 f(x)=(x+4)^4

 As you can see, the answer is the option D.