Question

What do you think would happen if we graphed g(x) alongside f(x)? f(x)=√x g(x) = f(x+2) How would the graphs be the same, and how would they be different?

Answer 1

First let's find the value of g(x):

$g(x)=f(x+2)=\sqrt[]{x+2}$

The functions f(x) and g(x) are different, so they have different graphs.

The difference between the functions it that the function g(x) is the function f(x) translated by two units to the left.