Question

The graphs below have the same shape. Complete the equation of the bluegraph. Enter exponents using the caret (1); for example, enter xas x^3. Donot include "G(x) =" in your answer.GOD = ?F(x) = x3G(X) =

Answer 1

We have that

`f(x)=x^3`

Then, we can see that g(x) has the same shape of f(x), but it is shot 3 units to the right.

To move a function to the right, we must substract in x the number of units we want to move.

So, we have

`g(x)=f(x-3)=(x-3)^3`

Finally, we obtain

`g(x)=(x-3)^3`