Parent Function WS 1



Name: ___________________________ Period: ___ FALL 2016 FINAL REVIEW Algebra II

Unit 1

Identify the name, equation, domain, and range for each graph.

1. 2. 3.

Name: _________________ Name: ___________________ Name: ___________________

Equation: _______________ Equation: ________________ Equation: ________________

Domain: _____________ Domain: _____________ Domain: ________________

Range: ______________ Range: ______________ Range: ______________

4. 5. 6.

Name: _________________ Name: ___________________ Name: ___________________

Equation: _______________ Equation: ________________ Equation: ________________

Domain: _____________ Domain: _____________ Domain: _____________

Range: ______________ Range: ______________ Range: ______________

7. 8. 9.

Name: _________________ Name: ___________________ Name: LOG

Equation: _______________ Equation: ________________ Equation: y = log x

Domain: _____________ Domain: _____________ Domain: _____________

Range: ______________ Range: ______________ Range: ______________

10. Describe the effect the a, b, h, and k have on the graph of the parent function.

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

Complete the information. (You must be able to do this for ANY parent function).

11) [pic] 12) [pic] 13) [pic]

Parent Function: Parent Function: Parent Function:

Transformation: Transformation: Transformation:

New reference: New Vertex: New Vertex:

Domain: Domain: Domain:

Range: Range: Range: ______

[pic] [pic] [pic]

Unit 2

Write the equation from the graph. Define the Domain and Range.

14)

[pic]

Transformations:

Domain:_____________________

_____________________

Range:______________________

______________________

Transformed equation:

_______________________________

Unit 3

Find the inverse of each function.

|21. [pic] |22. [pic] |23. [pic] |

Graph the function and its inverse. State the domain and range of each. (You must be able to do this for ANY parent function).

|24. [pic] |25 .[pic] |

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|Domain: ____________ Domain: ______________ | |

| |Domain: ___________ Domain: ______________ |

|Range: _______________ Range: _____________ | |

| |Range: _______________ Range: _____________ |

Unit 4A and 4B

Write the system and solving using substitution/elimination or matrix.

26. Julia’s Dance School sold a total of 320 tickets to the dance recital. They sold 98 more adult tickets than child tickets. Write a system of equations that could be used to determine the number of adult and child tickets sold.

27. Jorge has to buy some shirts and pants for the upcoming school year. He has $300 to spend on $10 shirts and $15 pants. He would like to spend the same amount of money on shirts as pants. Write a system of equations that could be used to determine the number of shirts and pairs of pants he should buy.

28.Mikey bakes cookies for the elementary school cookie sale. He has chocolate chip, oatmeal, and sugar cookies to sell. On the first day he earned $68 selling 12 dozen chocolate chip cookies and 8 dozen oatmeal cookie. The next day he only had sugar cookies and oatmeal cookies and made $56 selling 9 dozen oatmeal cookies and 10 dozen sugar cookies. Later that afternoon, he discovered he still had 3 dozen sugar cookies and sold them for $6. How much money did he make on the last day if he sold 7 dozen oatmeal cookies and 11 dozen chocolate chip cookies?

29. Solve the system represented below.

30.Write the Matrices for the system below and SOLVE.

-6r + 5s + 2t = -11

-2r + s + 4t = -9

4r – 5s + 5t = -4

31. Graph the system of inequalities given. 32. Graph the system of inequalities given.

Unit 5

Unit 6A

Factor.

|43. 25x2 - 64 |44. 8x² + 20x – 12 |

|45. 9a² - 25 |46. x² + 12x + 36 |

|47. 6b² - b – 1 |48. x³ + 5x² - 4x – 20 |

|49. 2t² - 9t + 4 |50. 10h² - 2 |

Unit 6B

Solve by factoring.

51.

Solve using the quadratic formula.

53. 54.

SOLVE by Completing the Square.

57. 0 = x2 - 10x + 12 58. 0 = x2 + 8x – 9

UNIT 7

59-60) Solve the following Quadratic systems.

y = x2 -4x +3

y = x -1

y = x2 – x – 6

y = 2x – 2

ONLEVEL STOP HERE(

PRE-AP KEEP GOING!!!

UNIT 8

Write the equation in standard form.

y = (x+5)(x+4)

Write the equation in factored form.(you must go to standard form 1st)

64. y = (x-3)2 - 4 65. y = (x+ 2)2 – 4

66) Given [pic], find: x-intercepts: _______________Range: _____________

67.

Axis of Symmetry: ____________ Vertex: _______________

Roots: ____________________ Y- Intercept: _________

Equation: _________________________

68. Given [pic], find: AOS: _______________ Vertex: ____________________

69. A boy throws a ball with an upward velocity of 43 feet/sec. The function

[pic] models the height h in feet of the ball at time t in seconds. When will the ball hit the ground?

70. Write the quadratic equation given points: [pic]

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Solve.

15. |x – 3| = 12 16. |9x – 5| = 40

17. ½ | 2x + 1 | > -3 18. 5|2x + 1| = 45

19. 4|x + 1| – 2 ≥ 38 20. |3x + 2| – 9 < 26

[pic]

A=[ ] B=[ ]

[pic]

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