Chapter 1, Problem 1CR

To determine

To graph : The function and its parent function is to be drawn and its transformation is to be described

Explanation of Solution

Given information : The given equation is $f(x)=x+3$

Graph : The graph of the given equation is

  

Table for above graph:

X(input)	0	-1	-2	-3
Y(output)	3	2	1	0

The parent graph of the given function is $g(x)=x$

Graph for the parent function is shown below

  

Transformation of given function with respect to parent function as shown below

  

Interpretation :

Both the graphs are straight line where $f(x)=x+3$ the vertical translation of the parent graph is $g(x)=x$ .

Thus, the graph $f(x)=x+3$ is the result of transformation of $g(x)=x$ 3 units up.