1. 1.
What is a parabola?

2. The graph of a quadratic function
1. Answer
The graph of a quadratic function

3. 2.
What is a vertex?

4. The lowest or highest point on a parabola
2. Answer
The lowest or highest point on a parabola

5. What is the axis of symmetry?3.
What is the axis of symmetry?

6. It divides the parabola into mirror images & passes through the vertex
3. Answer
It divides the parabola into mirror images & passes through the vertex

7. 4.
What are x-intercepts?

8. Where the graph touches the x-axis
4. Answer
Where the graph touches the x-axis

9. 5.
What are y-intercepts?

10. Where the graph touches the y-axis
5. Answer
Where the graph touches the y-axis

11. 6.
What is a radical?

12. 6. Answer
The expression √x

13. 7.
What is a radicad?

14. The number beneath the radical sign
7. Answer
The number beneath the radical sign

15. What is an inverse function?8.
What is an inverse function?

16. Interchanges the input & output values of the original function
8. Answer
Interchanges the input & output values of the original function

17. Which direction does the graph open? y = x² y = -x² y = √x y = √-x9.
Which direction does the graph open? y = x² y = -x² y = √x y = √-x

18. 9. Answer
Which direction does the graph open? y = x² up y = -x² down y = √x right y = √-x left

19. 10.
What is a directrix?

20. A line perpendicular to the axis of symmetry
10. Answer
A line perpendicular to the axis of symmetry

21. 11.
What is a focus?

22. 11. Answer
A point on the axis of symmetry that is equidistant from each opposing point on the graph

23. What indicates how wide a function is?
12.
What indicates how wide a function is?

24. The coefficient in front of x², also known as a
12. Answer
The coefficient in front of x², also known as a

25. Which function will have a wider graph? y = 0.5x² y = 5x²
13.
Which function will have a wider graph? y = 0.5x² y = 5x²

26. 13. Answer
y = 0.5 x²

27. How are the graphs different? y = x² + 3 y = x² - 2
14.
How are the graphs different? y = x² + 3 y = x² - 2

28. The vertex is different. y = x² + 3 is higher than y = x² - 2.
14. Answer
The vertex is different. y = x² + 3 is higher than y = x² - 2.

29. 15.
What is the vertex of the function y = 2(x - 3)² + 1? Can you graph this function...?

30. 15. Answer
(3, 1)

31. What are the roots of the equation y = 5x² + 6x + 1?
16.
What are the roots of the equation y = 5x² + 6x + 1?

32. 16. Answer
-1/5, -1

33. 17.
Is finding the roots of a function the same as finding the zeros of a function?

34. 17. Answer
yes

35. What is the inverse function of y = 5x⁹ - 7?
18.
What is the inverse function of y = 5x⁹ - 7?

36. 18. Answer
y = ⁹√(x + 7)/5

37. 19.
How do you find the vertex of a function when it is written in standard form?

38. 19. Answer
x = -b 2a Then plug in for y.

39. 20.
How do you find the vertex of a function when it is written in intercept form?

40. Find axis of symmetry (between 2 points)
20. Answer
Plot your intercepts
Find axis of symmetry (between 2 points)
Plug in x-value of A.S. to find y
Plot vertex

41. How do you put the equation y = 3(x – 4)² + 1 in standard form?
21.
How do you put the equation y = 3(x – 4)² + 1 in standard form?

42. 21. Answer
y = 3(x – 4)² + 1 y = 3(x – 4)(x – 4) + 1 y = (3x – 12)(x – 4) + 1 y = 3x² -12x -12x y = 3x² -24x + 49

43. 22.
Solve: √3

44. 22. Answer
5 1+√3 1-√3 1+√3 5(1-√3) -2

45. 23.
Graph the equation y² = 8x and list the following: Vertex: Focus: Directrix: Axis of Symmetry:

46. 24. Answer
Vertex: (0, 0) Focus: (2, 0) Directrix: x = -2 Axis of Symmetry: y = 0 8x = 4px 2 = p

47. Max & Min Monomial, Binomial, Trinomial
Bonus
Max & Min Monomial, Binomial, Trinomial