1. Quadratic
Functions
Polynomial Form

2. y-intercept x-intercept(s)
Given
Find
Concavity Shape
Vertex
Axis of symmetry
y-intercept x-intercept(s)

3. Concavity

4. a is positive
Concavity
Concave Up

5. a is negative
Concavity
Concave
Down

6. a is positive
Concavity
Concave Up

7. a is negative
Concavity
Concave
Down

8. Summary
GIVEN
Concave Up
Concave Down

9. Shape

10. Regular

11. Skinny

12. FAT

13. A B
Regular
Regular C D
Skinny
FAT

14. A B
Regular
Regular C D
Skinny
FAT

15. Summary
GIVEN
Regular
Skinny
FAT

16. y-intercept

17. y-intercept
When x
Equals
Zero ?

18. y-intercept
When x
Equals
Zero

19. y-intercept
y-intercept

20. Summary
GIVEN
y-intercept

21. x-intercept(s)

22. x-intercept(s)
When y
Equals
Zero ?

23. x-intercept(s)
When y
Equals
Zero

24. x-intercept(s)
Graph
Solutions
and

25. Summary
GIVEN
x-intercept(s)
Solutions to:
and

26. ZEROS
GIVEN
x-intercept(s)
Solutions to:
and

27. ZEROS
Same?
x-intercept(s)
Solutions to:
and

28. Example
Solutions to:
and

29. Example
Solutions to:
and

30. NEVER TOUCHES THE X-AXIS
NO X-INTERCEPTS

31. yes
ZEROS
x-intercept(s) NO

32. ZEROS
x-intercept(s)

33. Vertex

34. abscissa
Vertex

35. abscissa
Vertex

36. abscissa
ordinate
Vertex

37. abscissa
ordinate
Vertex

38. How Do You Find
Vertex

39. Vertex

40. Vertex

41. Vertex

42. Vertex

43. Summary
GIVEN
Vertex

44. Axis of Symmetry

45. Equation?

46. Equation?

47. Equation?

48. ?
Axis of Symmetry
Passes Thru The
Vertex

49. Axis of Symmetry
Passes Thru The Vertex
Vertex
Therefore
Axis of Symmetry

50. Summary
GIVEN
Axis of Symmetry

51. Maximum or
Minimum

52. Concave UP
RANGE
Vertex

53. Maximum? NO
Vertex

54. Minimum?
YES
Vertex

55. RANGE
Vertex
Concave Down

56. Minimum? NO
Vertex

57. Maximum?
YES
Vertex

58. Summary
GIVEN
Maximum or =
Minimum