Question

The graph of F(x), shown below, has the same shape as the graph of G(X) =

X^4, but it is shifted 3 units to the right. What is its equation?
F(x) =

Answer 1

Answer: (X-3)^4

Explanation:

To shift a function left, add inside the function's argument: f (x + b) gives f (x)shifted b units to the left. Shifting to the right works the same way; f (x – b) is f (x) shifted b units to the right.

Therefore, the equation is
`F(x) = G(x-3) = (X-3)^4`