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