Problem
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. \( F(x)=(x-3)^{4} \)
Solution
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.
