Translations and Special Functions Practice Problems

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Translations and Special Functions Practice Problems

Directions: Match the graphs in Figures 5.32–5.34 with the functions in Problems 1–3.

Fig. 5.32

Fig. 5.33

Fig. 5.34

4. The graph of f ( x ) = ( x + 1) + 2 is the graph of f ( x )

   (a) shifted to the left one unit and down two units.

   (b) shifted to the left one unit and up two units.

   (c) shifted to the right one unit and down two units.

   (d) shifted to the right one unit and up two units.

   

   Fig. 5.35

5. The solid graph in Figure 5.35 is the graph of f ( x ), and the dashed graph is the graph of a transformation. What is the transformation?

   

Solutions

1. Figure 5.32
2. Figure 5.34
3. Figure 5.33
4. B
5. A