Parent Function Worksheet 1
Functions Review for Quiz Name __________________Block ___
# 1- 7 Give the name of the parent function and describe the transformation represented.
1. g(x) = x 2 – 1 Name: ______________________________________
Transformation:________________________________
2. f(x) = [pic] Name: ______________________________________
Transformation:________________________________
3. h(x) = [pic] Name: ______________________________________
Transformation:________________________________
4. g(x) = x3+ 3 Name: ______________________________________
Transformation:________________________________
5. g(x) = [pic] Name: ______________________________________
Transformation:________________________________
6. f(x) = [pic] - 2 Name: ______________________________________
Transformation:________________________________
7. h(x) = [pic] Name: ______________________________________
Transformation:________________________________
#8 - 11 Given the parent function and a description of the transformation, write the equation of the transformed function, f(x).
8. Absolute value—vertical shift up 5, horizontal shift right 3. ____________________
9. Radical—vertical compression by [pic] ____________________
10. Cubic—reflected over the x axis and vertical shift down 2 ____________________
11. Quadratic—vertical compression by .45, horizontal shift left 8. ____________________
For #12-15 determine if the given relation represents a function.
|x |y |
|-1 |5 |
|0 |3 |
|2 |4 |
|4 |3 |
12. For the table of data at the right: Is it a function? _____________
|x |y |
|-1 |2 |
|0 |3 |
|1 |4 |
|0 |5 |
13. For the table of data at the right: Is it a function? _____________
14. State whether or not the algebraic statement is function:
y = 4x + 2 ___________________________________________
y > 2x – 1 ___________________________________________
x = 5 _____________________________________________
15. Determine if each graph is a function.
[pic]
16. Find the value of the function
If [pic] and g(x) = x2 – 3x – 5, find:
a. f(6) = _____
b. f(–2) = ______
c. g(1) = ______
d. g(0) = ______
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