Question

The graph of F(x), shown below, has the same shape as the graph of G(x) = x4, but it is shifted to the right 2 units. What is its equation?

F(x) = _____

A. F(x) = (x + 2)4
B. F(x) = (x - 2)4
C. F(x) = x4 - 2
D. F(x) = x4 + 2

Answer 1

Answer:A.f(x)=(x+2)⁴

Step-by-step explanation:apexs

Answer 2

`G(x)= x^(4)`

F(x) has the same shape as G(x) but is shifted right by 2 units. A horizontal shift towards right can be achieved by subtraction of a number from x. So in order to shift G(x) 2 units to right, we have to subtract 2 from x as shown below:

G(x - 2)

Thus,
F(x) = G(x-2)

So,

`F(x)= (x-2)^(4)`

The option B gives the correct answer