1.2.4 Introduction to Parent Functions - Worksheet
Example 1: 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. 1. g ( x ) = ( x − 1) 3 2. g ( x ) = ( x + 1) 2 3. g ( x ) = − x
4.
5. g ( x ) = x 2 + 4
6.
= + g x x ( ) 3
= − g x x ( ) 2
Example 2: Graph the data from the table. Describe the parent function and the transformation that best approximates the data set. 7. x − 3 − 1 0 1 3 y − 15 − 5 0 5 15 8. x − 3 − 1 0 1 3 y − 1 − 1 27 0 − 1 27 1
Example 3: 9. The time it takes a pendulum to make one complete swing back and forth depends on its string length. a. Graph the relationship from string length to time.
Pendulum Swing
String Length (m)
Time (s)
2 4 6 8
2.8 4.0 4.9 5.7 6.3
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b. Identify which parent function best describes the data.
c. Use your graph to estimate the string length of a pendulum that takes 4.5 seconds to make one complete swing.
d. Use your graph to estimate the time it takes to make a complete swing for a string of length 14 meters.
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