Algebra II Graphing Concepts

  1. What type of equation would the following graph give you?
    Image Upload 1
    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?
    Image Upload 2
  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?Image Upload 3
    (0, -3)
  15. Is the following a Minimum or Maximum?
    Image Upload 4
    Minimum
  16. Is the following a Minimum or Maximum?Image Upload 5
    Maximum
  17. What is the vertex of the following graph?Image Upload 6
    (-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?
    Image Upload 7
    Where the function crosses the x-axis: -4 and 6
  22. What is the vertex of the following equation: Image Upload 8
    (0, 2)
  23. What "shape" will the following equation make: Image Upload 9
    Snake
  24. What 'shape" will the following equation make:Image Upload 10
    "U" - Parabola
  25. What is the slope of the following equation: Image Upload 11
    slope = 1/2
  26. What is the y-intercept of the following equation: Image Upload 12
    y-intercept = 0
  27. What is the y-intercept of the following equation: Image Upload 13
    y-intercept = -9
  28. What is the x-intercept and y-intercept of the following equation: Image Upload 14
    • x-intercept: (9, 0)
    • y-intercept: (0, 3)
  29. What is the x-intercept and y-intercept of the following equation: Image Upload 15
    • 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. Image Upload 16 has how many "zeros/solutions"? (all zeros, real and imaginary)
    # zeros is always representative of the highest power = 4
  39. Image Upload 17 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?Image Upload 18
    • 1 "double root"
    • (0, 0)
  41. Add questions that have the graph and then asking how many "real" zeros?
Author
JessicaWilliams
ID
245870
Card Set
Algebra II Graphing Concepts
Description
Algebra II Graphing Concepts: type of graph/equation, end behavior, number of "real" solutions, vertex, min/max
Updated