Section 2.5
Graphing Techniques;
Transformations
OBJECTIVE 1
2
2
2
Use the graph of to obtain the graph of the following:
(a) 2
(b) 2
f x x
g x x
h x x
2Graph the function 2 3f x x
OBJECTIVE 2
OBJECTIVE 3
Find the function that is finally graphed after the following three transformations are applied to the graph of y x
1. Shift right 1 unit.
2. Shift down 3 units.
3. Reflect about the x-axis.
Graph the function 2 1 3.
Find the domain and the range of .
f x x
f
2Graph the function 4.
3Find the domain and the range of .
f xx
f