Question 11 of 25
The graph of \( F(x) \), shown below, has the same shape as the graph of \( G(x)=x^{4} \), but it is shifted to the right 3 units. What is its equation?
\[
F(x)=
\]
A. \( F(x)=(x+3)^{4} \)
B. \( f(x)=x^{4}+3 \)
c. \( f(x)=x^{4}-3 \)
D. \( F(x)=(x-3)^{4} \)

Answer

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Answer

Thus, the correct equation for F(x) is: F(x) = (x-3)^4.

Steps

Step 1 ：To match the shape of the graph and shift 3 units to the right, we need to replace x with (x-3) in the base function G(x) = x^4.

Step 2 ：Now substitute (x-3) in place of x: F(x) = (x-3)^4.

Step 3 ：Thus, the correct equation for F(x) is: F(x) = (x-3)^4.