Chapter 1.1, Problem 9E

To determine

To graph: The given function and its parent function and then to describe the transformation.

Answer to Problem 9E

The graph of $g(x)=x+4$ is a vertical translation $4$ units above the graph of the parent linear function.

Explanation of Solution

Given information: Given function is $g(x)=x+4$ .

Graph:

The function $g$ is a linear function with a slope of $1$ and a y-intercept of $4$ . So, draw a line through the point $(0,4)$ with a slope of $1$ .

  

Interpretation:

The graph of $g$ (shown by blue colored line) is $4$ units above the graph of the parent linear function $f(x)=x$ (shown by green colored line).

So, the graph of $g(x)=x+4$ is a vertical translation $4$ units above the graph of the parent linear function.