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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

Respuesta :

You need to remember the following Transformations rules for functions:

1. If

[tex]f(x-h)[/tex]

Then the function is shifted rigth "h" units.

2. If

[tex]f(x+h)[/tex]

Then the function is shifted left "h" units.

In this case, you have the following function:

[tex]G\mleft(x\mright)=x^4[/tex]

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

[tex]G(x)=(x-3)^4[/tex]

The answer is:

[tex]G(x)=(x-3)^4[/tex]

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