Let's start by recalling possible transformations of the parent function f(x)=x1.
Function | Transformation of the Graph of f(x)=x1 |
---|---|
g(x)=x−h1 | Horizontal translation by h units. If h>0, the translation is to the right. If h<0, the translation is to the left. |
Now, let's consider the given function. g(x)=x+31⇔g(x)=x−(-3)1 We can see that h=-3. Therefore, the graph of g(x) is a translation of the graph of f(x) 3 units left.