1. Algebra 2 Final Review Study Outline Chapter 5: Quadratic Functions Chapter 6: Polynomial Functions Chapter 7&9: Functions and Inverses Exponential and Logarithmic Functions Chapter 11:Statistics Chapter 13:Trigonometry Chapter 8:Rational Functions

2. Chapter 5: Quadratic Functions

3. Vertex

4. Transformations

5. Solving Quadratic Equations Graphing Factoring Square-Rooting Completing the Square Quadratic Formula

8. Discriminant

9. Completing the Square

10. Irrational Numbers

11. Chapter 6: Polynomial Functions

12. End Behavior Step 1: Leading coefficient (right side)  Positive: Right side rises  Negative: Right side falls Step 2: Degree (both ends)  Even: both ends go in the SAME direction  Odd: the ends go in OPPOSITE directions

13. End Behavior

14. Add/Subtract/Multiply

15. Solving Polynomial Equations

17. Multiplicity of Roots

18. Chapters 7 & 9: Functions & Inverses Exponential Functions

19. Composition of Functions

20. Exponential Functions: Growth and Decay

21. Exponential Growth and Decay

22. Solving Exponential Equations

23. Logarithmic Expressions

24. Logarithmic Properties

26. Solving Exponential or Logarithmic Equations

28. Logarithmic Functions

29. Chapter 11: Statistics

30. Exponential Model Given the following data, find the equation of the exponential model. Years after 1970Population (in millions) 0203.3 10226.5 20248.7 30281.4

31. Correlation

32. Mean Find the mean from the frequency table: ScoreFrequency 903 928 9511 992

33. Standard Deviation Standard deviation measures the “spread” or “variability” of the data. A small standard deviation indicates data that are all very similar. A large standard deviation indicates data that are very different.

34. Normal Distribution Remember the 68 – 95 – 99.7% rule

35. Normal Distribution Test scores were normally distributed with a mean of 100 and standard deviation of 10. What percent of students scored between an 80 and 120?

36. Types of Studies Survey: a questionnaire given to a sample of individuals. Observational Study: gather data on a topic without manipulating any variable Experiment: purposefully manipulate one variable to examine its effect on another variable

37. Types of Studies Categorize each type of study: A college sends a feedback postcard to students who recently attended an open house. A researcher compares the SAT scores of students taking Latin with students not taking Latin. The number of heart attacks is compared when one group of individuals are assigned to take an aspirin a day while another group does not not.

38. Chapter 13: Trigonometry SOH-CAH-TOA Given the triangle, find the value of the three trig functions.

39. Angle of Elevation or Depression A road rises 10 feet over a horizontal distance of 80 ft. Find the angle of elevation of the road.

40. Angles of Rotation

41. Coterminal Angles

42. Reference Angles

44. Radians and Degrees

45. Exact Value or Unit Circle

46. Exact Value of Sin, Cos, Tan Find the reference angle. (Convert to degrees if necessary.) Use the table of exact values. Decide if the function should be positive or negative by using A-S-T-C.

47. Exact Value of Sin, Cos, Tan

49. Pythagorean Identity

50. Graphs of Sine/Cosine

52. Maximum and Minimum Value for Sine and Cosine

53. Chapter 8: Rational Expressions and Equations

55. Solving Rational Equations