Quadratic Transformations
8th - 9th grade
2606 times
Mathematics
60%average accuracy
4 years ago
laleonard254
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14 QuestionsShow answers
  • Question 1
    180 seconds
    Q. Which transformation maps the graph of
    f(x) = x2 to the graph of g(x) = (x + 4)2?
    answer choices
    a reflection across the line x = -4
    a reflection across the line y = -4
    a translation shifting f(x) 4 units to the left
    a translation shifting f(x) 4 units to the right
  • Question 2
    300 seconds
    Q. Pablo throws a ball with a path of
    h = -5(t - 2)2.
    Maria throws a ball with a path of
    h = -5(t - 2)2 + 10.
    Which description is reasonable for the difference in the two equations?
    answer choices
    Maria throws the ball 10 times harder than Pablo does.
    Maria starts her ball at a height 10 feet higher than Pablo does.
    Pablo throws the ball 10 times harder than Maria does.
    Pablo starts his ball at a height 10 feet higher than Maria does.
  • Question 3
    60 seconds
    Q. Match the description to its equation.
    Reflected over the x-axis 
    Stretched by a factor of 2
    answer choices
    A
    B
    C
    D
  • Question 4
    60 seconds
    Q. Match the description to its equation.
    Moves up 2
    Moves left 4
    answer choices
    A
    B
    C
    D
  • Question 5
    60 seconds
    Q. Match the description to its equation.
    Moves right 7
    answer choices
    A
    B
    C
    D
  • Question 6
    60 seconds
    Q. Match the description to its equation.
    - moves down 3
    answer choices
    A
    B
    C
    D
  • Question 7
    60 seconds
    Q. Match the equation to its description.
    answer choices
    Reflected over x and up 4
    Reflected over x and down 4
    Reflected over x and right 4 
    Reflected over x and left 4
  • Question 8
    60 seconds
    Q. Match the equation to its description.
    answer choices
    Stretched by 2 and up 4
    Compressed by 2 and up 4
    Stretched by 2 and left 4
    Compressed by 2 and left 4
  • Question 9
    60 seconds
    Q. Match the equation to its description.
    answer choices
    Stretched by 4 and up 4
    Compressed by 4 and up 4
    Stretched by 4 and left 4
    Compressed by 4 and left 4
  • Question 10
    60 seconds
    Q. Match the description to its equation.
    Moves down 1
    Moves right 1
    answer choices
    A
    B
    C
    D
  • Question 11
    120 seconds
    Q. Which list orders the quadratic functions from narrowest to widest?
    answer choices
    y = x2 
    y = 4x2 
    y = 2x2 - 2  
    y = 0.5 x2
    y = 0.5 x2  
     y = x2 
    y = 2x2 - 2 
    y = 4x2
    y = 4x2 
    y = 2x2 - 2
     y = x2 
    y = 0.5 x2  
     y = 2x2 - 2
     y = 4x2
     y = 0.5x2
     y = x2
  • Question 12
    120 seconds
    Q. Which transformation will occur if f(x) = x2 is replaced with 2⋅f(x)?
    answer choices
    Nothing happens, it stays the same.
    Vertical stretch by a factor of 2.
    Vertical translation up by 2 units.
    Reflection across the x-axis.
  • Question 13
    120 seconds
    Q. Which transformation will occur if f(x) = x2 is replaced with f(x) + 2?
    answer choices
    Nothing happens, it stays the same.
    Vertical stretch by a factor of 2.
    Vertical translation up by 2 units.
    Reflection across the x-axis.
  • Question 14
    120 seconds
    Q. Which transformation will occur if f(x) = x2 is replaced with -f(x)?
    answer choices
    Nothing happens, it stays the same.
    Vertical stretch by a factor of 2.
    Vertical translation up by 2 units.
    Reflection across the x-axis.
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