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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