Question

The graph of F(x) shown below has the same shape as the graph G(x)=x^4 but it is shifted 3 units to the right what is its equation?

Answer 1

i think the answer is B

Answer 2

B.
`F(x)=(x-3)^4`

Explanation:

We are given the function
`G(x)=x^4`.

Now, F(x) is obtained by shifting G(x) to the right by 3 units.

That is, F(x) is translated 3 units to the right.

So, the function G(x) changes to G(x-3).

That is,
`F(x)=G(x-3)`

i.e.
`F(x)=(x-3)^4`

Thus, option B is correct.