Question

The graph of F(x),shown below,has the same shape as the graph of G(x)=x^4, but it is shifted 2 units to the right. What is it’s equation?

F(x) =____

Answer 1

Hey there! :)

Answer:

A.
`f(x) = (x - 2)^(4)`

Explanation:

Recall that the transformation form of a polynomial with degree four is:

`f(x) =` ±
`a(b(x-h))^(4) +k`

In this instance, we will need to use the h value, or the horizontal shift.

It is given that there is only a horizontal shift of 2 units to the right, or h = 2. Plug this into the equation:

`f(x) = (x - 2)^(4)`