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.