# Algebra II Graphing Concepts

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 Author: JessicaWilliams ID: 245870 Filename: Algebra II Graphing Concepts Updated: 2013-11-08 15:31:15 Tags: Graphing Concepts Folders: Description: Algebra II Graphing Concepts: type of graph/equation, end behavior, number of "real" solutions, vertex, min/max Show Answers:

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1. What type of equation would the following graph give you?
Absolute Value
2. Absolute Value equations give you what "shape" for a graph?
"V"
3. Squared (x2) equations give you what "shape" for a graph?
"U" - Parabola
4. Cubed (x3) equations give you what "shape" for a graph?
Snake
5. y=mx+b equations give you what "shape" for a graph?
Line
6. y=# and x=# give you what "shape" for a graph?
Line
7. "H.O.Y." stands for what?
• Horizontal Line
• "Zero" slope
• Equation is y=# and goes through y-axis
8. "V.U.X" stands for what?
• Vertical Line
• "Undefined" slope
• Equation is x=# and goes through x-axis
9. What does the "m" in y=mx+b stand for?
Slope
10. What is your saying for slope when it comes to graphing?
Rise over run
11. Equation for slope is?
12. the equation y=(x - h)2+(y - k)2 will give you what "shape"?
Circle
13. What does the "b" in y=mx+b stand for?
y-intercept
14. What is the vertex of the following graph?
(0, -3)
15. Is the following a Minimum or Maximum?
Minimum
16. Is the following a Minimum or Maximum?
Maximum
17. What is the vertex of the following graph?
(-3, 6)
18. What is the vertex of the following equation: y=2(x - 1)2-3?
(1, -3)
19. What is the vertex of the following equation: y=-x2+4x+4?
(2, 8)
20. Where can you find the solutions, zeros, or roots on a graph?
Where the function crosses the x-axis
21. What are the solutions/"real" zeros of the following graph?
Where the function crosses the x-axis: -4 and 6
22. What is the vertex of the following equation:
(0, 2)
23. What "shape" will the following equation make:
Snake
24. What 'shape" will the following equation make:
"U" - Parabola
25. What is the slope of the following equation:
slope = 1/2
26. What is the y-intercept of the following equation:
y-intercept = 0
27. What is the y-intercept of the following equation:
y-intercept = -9
28. What is the x-intercept and y-intercept of the following equation:
• x-intercept: (9, 0)
• y-intercept: (0, 3)
29. What is the x-intercept and y-intercept of the following equation:
• x-intercept: (4, 0)
• y-intercept: (0, -8)
30. Describe the end behavior of the following: x2
• Up to the left
• Up to the right
31. Describe the end behavior of the following: -x2
• Down to the left
• Down to the right
32. Describe the end behavior of the following: x3
• Down to the left
• Up to the right
33. Describe the end behavior of the following: -x3
• Up to the left
• Down to the right
34. Describe the end behavior of the following: x
• Down to the left
• Up to the right
35. Describe the end behavior of the following: -x
• Up to the left
• Down to the right
36. Describe the end behavior of the following: x4
• Up to the left
• Up to the right
37. Describe the end behavior of the following: -x4
• Down to the left
• Down to the right
38.  has how many "zeros/solutions"? (all zeros, real and imaginary)
# zeros is always representative of the highest power = 4
39.  has how many "zeros/solutions"? (all zeros, real and imaginary)
# zeros is always representative of the highest power = 8
40. How many "real" solutions does the following graph have?
What is the solution?
• 1 "double root"
• (0, 0)
41. Add questions that have the graph and then asking how many "real" zeros?

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