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To graph: The each of the following functions:
a.
For the graph function ,
![Check Mark](/static/check-mark.png)
Explanation of Solution
Graph:
a.
To obtain the graph of add 3 from each on the graph of , that it is shifted up 3 units.
To graph: The each of the following functions:
b.
For the graph function ,
![Check Mark](/static/check-mark.png)
Explanation of Solution
Graph:
b.
To obtain the graph of , replace by from each on the graph of , that it is shifted left 2 units.
To graph: The each of the following functions:
c.
For the graph function ,
![Check Mark](/static/check-mark.png)
Explanation of Solution
Graph:
c.
To obtain the graph of , multiply by on the graph of , that it is reflection about the .
To graph: The each of the following functions:
d.
For the graph function ,
![Check Mark](/static/check-mark.png)
Explanation of Solution
Graph:
d.
Now use the following steps to obtain the graph of .
Step 1: To obtain the graph of , replace by from each on the graph of , that it is shifted left 1 unit.
Step 2: To obtain the graph of , subtract 2 from each on the graph of , that it is shifted down 2 units.
To graph: The each of the following functions:
e.
For the graph function ,
![Check Mark](/static/check-mark.png)
Explanation of Solution
Graph:
e.
To obtain the graph of , multiply each of the graph of by that it is vertically stretched by the factor of .
To graph: The each of the following functions:
f.
For the graph function ,
![Check Mark](/static/check-mark.png)
Explanation of Solution
Graph:
f.
To obtain the graph of , replace by of the graph of , that it is reflection about the .
To graph: The each of the following functions:
g.
For the graph function ,
![Check Mark](/static/check-mark.png)
Explanation of Solution
Graph:
g.
To obtain the graph of , replace by of the graph of ; that it is horizontally stretched by the factor of .
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
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