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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?

The graph of Fx shown below has the same shape as the graph Gxx4 but it is shifted 3 units to the right what is its equation class=

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jackielockhart1
i think the answer is B

Answer:

B. [tex]F(x)=(x-3)^4[/tex]

Step-by-step explanation:

We are given the function [tex]G(x)=x^4[/tex].

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, [tex]F(x)=G(x-3)[/tex]

i.e. [tex]F(x)=(x-3)^4[/tex]

Thus, option B is correct.

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