Question

the graph has the same shape as the graph of G(x)=x^4,but it is shifted three units to the right. Complete its equation. Enter exponents using the caret. Do not include G(x)= in your answer

Answer 1

You need to remember the following Transformations rules for functions:

1. If

`f(x-h)`

Then the function is shifted rigth "h" units.

2. If

`f(x+h)`

Then the function is shifted left "h" units.

In this case, you have the following function:

`G\mleft(x\mright)=x^4`

Since the new graph is obtained by shifting it three units to the right, you can determine that the new equation is:

`G(x)=(x-3)^4`

The answer is:

`G(x)=(x-3)^4`