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Name __________________________________________________ Date _________________
Parent Function Worksheet
# 1- 6
Give the name of the parent function.
1. g(x) = x 2 – 1
4. g(x) = x3+ 3
2. f(x) = 2 x 1
5. g(x) =
x2
3. h(x) =
# 7- 12
7. h(x) =
1
x 6
6. f(x) = x  5 - 2
Draw the basic graph for the parent function.
10. h(x) =  x  2
1
5
x
3
x
4
8. g(x) = 3 x
11. f(x) =
9. h(x) = - x2 + 1
12. h(x) = 6 (x + 9) 2
#13 - 17
Given an example of an equation represented by the following family of
functions. (Do not use any of the examples from #1 -12!)
13. Absolute value
____________________
14. Square root
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15. Cubic
____________________
16. Reciprocal
____________________
17. Quadratic
____________________
#18 – 21
Name the parent function for each of the following graphs.
18. __________________________
19. __________________________
20. __________________________
21. __________________________
#22 – 24
Make up a real life example of each of the following parent functions. You may
use the examples from class as a guide, but do not copy them exactly. (Hint:
you may also google to find some good examples!)
22. Exponential ________________________________________________________________
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23. Linear _____________________________________________________________________
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24. Quadratic___________________________________________________________________
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