Algebra 2 Companion Book, Volume 1

1.2 Review Worksheet (continued)

1.2.4 Introduction to Parent Functions Identify the parent function for g from its function rule. Then graph g on your calculator and describe what transformation of the parent function it represents. 32. g ( x ) = x 2 − 1 33. = − g x x ( ) 2 34. g ( x ) = x 3 + 3

Graph the data from the table. Describe the parent function and the transformation that best approximates the data set. 35. 36.

1 3 x –3 –1 0 1 3 y 3 0 3 1 3

x 0 1 4 9 16 y 0 2 4 6 8

37.  The number of segments required to connect a given number of points is shown in the table. a. Graph the relationship from the number of points to the number of segments.

Connecting Points

Number of Points Number of Segments

2

5

8

11

1

10

28

55

b. Identify which parent function best describes the data.

2 points 1 segment

5 points 10 segments

c. Use your graph to estimate the number of points if there are 45 segments.

d. Use your graph to estimate the number of segments if there are 7 points.

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