WorksheetsQuadratic Transformations
Total questions: 80
Worksheet time: 40mins
Describe the transformation(s):
y = x2 - 3
Translated left 3 units
Translated right 3 units
Translated down 3 units
Translated up 3 units
Describe the transformation(s):
y = x2 + 11
Translated up 11 units
Translated right 11 units
Translated left 11 units
Translated down 11 units
Describe the transformation(s):
y = (x + 4)2
Translated up 4 units
Translated left 4 units
Translated right 4 units
Translated down 4 units
Describe the transformation(s):
y = (x - 2.5)2
Translated left 2.5 units
Translated down 2.5 units
Translated right 2.5 units
Translated up 2.5 units
Describe the transformation(s):
y = -x2
Reflected over the x-axis
Translated down 1 unit
Translated right 1 unit
Vertical compression by a factor of 1
Describe the transformation(s):
y = 2x2
Vertical stretch by a factor of 2
Vertical compression by a factor of 2
Translated up 2 units
Reflected over the x-axis
Describe the transformation(s):
y = 0.25x2
Translated right 0.25 units
Translated up 0.25 units
Vertical stretch by a factor of 0.25
Vertical compression by a factor of 0.25
Describe the transformation(s):
y = -x2 + 3
Reflected over the x-axis
Translated up 3 units
Vertical stretch by a factor of 3
Translated left 3 units
Describe the transformation(s):
y = (x + 6)2 + 3
Translated left 6 units
Translated right 6 units
Translated up 3 units
Translated down 3 units
Describe the transformation(s):
y = 10(x - 11)2
Vertical stretch by a factor of 10
Reflected over the x-axis
Translated left 11 units
Translated right 11 units
Describe the transformation(s):
y = (x - 2)2 - 1
Translated left 1 unit
Translated right 2 units
Translated down 2 units
Translated down 1 unit
Describe the transformation(s):
y = -4x2 + 6
Vertical stretch by a factor of 4
Reflected over the x-axis
Translated up 6 units
Translated right 6 units
Describe the transformation(s):
y = 8x2 + 7
Vertical stretch by a factor of 7
Vertical stretch by a factor of 8
Translated right 8 units
Translated up 7 units
Describe the transformation(s):
y = (x + 18)2 - 11
Translated down 11 units
Translated up 18 units
Translated left 11 units
Translated left 18 units
Describe the transformation(s):
y = -9(x + 8)2 - 4
Vertical stretch by a factor of 9
Translated left 8 units
Translated down 4 units
Reflected over the x-axis
f(x) = x2 + 3 is transformed to become g(x) = x2 + 13. Describe the transformation(s) from f(x) to g(x).
Translated up 13 units
Translated up 10 units
Translated left 3 units
Translated down 13 units
f(x) = (x - 1)2 - 2 is transformed to become g(x) = -(x - 3)2 - 2. Describe the transformation(s) from f(x) to g(x).
Reflected over the x-axis
Translated 2 units left
Translated 2 units right
Translated down 2 units
f(x) = -(x + 10)2 is transformed to become g(x) = (x + 10)2 - 2. Describe the transformation(s) from f(x) to g(x).
Translated down 2 units
Translated left 10 units
Reflected over the x-axis
Translated up 2 units
Bill graphed y = 3x2 + 8 and Joy graphed y = 3x2 + 4. What statement describes the difference between the two graphs?
Joy's graph is wider than Bill's graph.
Joy's graph is half the size of Bill's graph.
Joy's graph is located to the left of Bill's graph.
Joy's graph is located further down on the y-axis than Bill's graph.
Bill graphed y = x2 and Joy graphed y = 3(x + 5)2. What statement(s) describe the difference between the two graphs?
Joy's graph is wider than Bill's graph.
Joy's graph is skinnier than Bill's graph.
Joy's graph is located to the left of Bill's graph.
Joy's graph is located further down on the y-axis than Bill's graph.
Bill graphed y = (x + 7)2 and Joy graphed y = (x - 5)2 + 9. What statement(s) describe the difference between the two graphs?
Joy's graph is located further down on the y-axis than Bill's graph.
Joy's graph is located further up on the y-axis than Bill's graph.
Joy's graph is located to the left of Bill's graph.
Joy's graph is located to the right of Bill's graph.
What would the transformation between the graph of f(x) = x2 + 3 and the graph of g(x) = (x - 2)2 + 3 be?
Translated up 3 units
Translated down 2 units
Translated right 2 units
Reflected over the x-axis
What would the transformation between the graph of f(x) = (x - 7)2 - 2 and the graph of g(x) = (x - 7)2 + 3 be?
Translated up 3 units
Translated right 7 units
Translated down 5 units
Translated up 5 units
What would the transformation between the graph of f(x) = x2 - 11 and the graph of g(x) = -x2 - 11 be?
Reflected over the x-axis
Translated down 11 units
Translated left 11 units
Vertical stretch by a factor of 11
What would the transformation between the graph of f(x) = (x + 5)2 and the graph of g(x) = (x + 9)2 - 1 be?
Translated left 5 units
Translated down 1 unit
Translated left 4 units
Translated right1 unit
Describe the transformation(s) of the parent function in the graph above.
Reflected over the x-axis
Translated up 1 unit
Translated down 1 unit
Translated left 1 unit
Describe the transformation(s) of the parent function in the graph above.
Translated up 2 units
Translated left 2 units
Translated down 2 units
Translated right 2 units
Describe the transformation(s) of the parent function in the graph above.
Translated down 2 units
Translated left 2 units
Reflected over the x-axis
Vertical compression by a factor of 0.5
Describe the transformation(s) of the parent function in the graph above.
Reflected over the x-axis
Vertical stretch by a factor fo 2
Translated left 1 unit
Translated right 1 unit
Describe the transformation(s) of the parent function in the graph above.
Translated left 3 units
Translated up 3 units
Translated right 3 units
Reflected over the x-axis
Describe the transformation(s) of the parent function in the graph above.
Translated up 2 units
Translated right 2 units
Translated left 1 unit
Translated up 3 units
Describe the transformation(s) of the parent function in the graph above.
Vertical stretch by a factor of 2
Translated right 1 unit
Reflected over the x-axis
Translated down 2 units
Describe the transformation(s) of the parent function in the graph above.
Vertical compression by a factor of 0.5
Reflection over the x-axis
Translated 2 units left
Translated 3 units down
Describe the transformation(s) of the parent function in the graph above.
Translated up 3 units
Translated left 3 units
Translated right 3 units
Reflected over the x-axis
How was the red graph transformed to become the blue graph?
Reflected over the x-axis
Translated up 3 units
Translated right 1 unit
Translated left 3 units
How was the red graph transformed to become the blue graph?
Translated right 4 units
Translated left 4 units
Translated down 4 units
Translated up 4 units
How was the red graph transformed to become the blue graph?
Translated up 3 units
Translated right 4 units
Translated down 2 units
Reflected over the x-axis
How was the red graph transformed to become the blue graph?
Translated down 2 units
Translated up 2 units
Translated left 2 units
Reflected over the x-axis
How was the red graph transformed to become the blue graph?
Reflected over the x-axis
Translated down 3 units
Translated right 4 units
Translated up 3 units
How was the red graph transformed to become the blue graph?
Translated down 3 units
Reflected over the x-axis
Translated left 3 units
Vertical stretch by a factor of 2
Which of the following equations best describes the graph above?
y = x2 + 1
y = -x2 + 1
y = -x2
y = -(x + 1)2
Which of the following equations best describes the graph above?
y = x2 + 2
y = x2 - 2
y = (x + 2)2
y = (x - 2)2
Which of the following equations best describes the graph above?
y = 0.25x2 - 2
y = 0.25(x + 2)2
y = 0.25(x - 2)2
y = x2 - 2
Which of the following equations best describes the graph above?
y = (x - 1)2
y = (x + 1)2
y = x2 + 1
y = x2 - 1
Which of the following equations best describes the graph above?
y = (x - 3)2
y = (x + 3)2
y = x2 + 3
y = x2 - 3
Which of the following equations best describes the graph above?
y = (x - 2)2 + 2
y = (x + 2)2 - 1
y = (x - 1)2 - 2
y = (x + 1)2 + 2
Which of the following equations best describes the graph above?
y = x2 - 2
y = 2x2 + 1
y = 2(x - 1)2 - 2
y = 2(x + 1)2 + 2
Which of the following equations best describes the graph above?
y = 0.25x2
y = x2
y = -0.25x2
y = 4x2
Which of the following equations best describes the graph above?
y = (x + 3)2
y = (x - 3)2
y = x2 - 3
y = x2 + 3
Which of the following equations best describes the red graph above?
y = x2 - 3
y = -x2 + 3
y = (x + 3)2
y = -(x - 3)2
Which of the following equations best describes the blue graph above?
y = x2 - 3
y = -(x - 1)2
y = (x - 1)2
y = -(x + 2)2
Which of the following equations best describes the red graph above?
y = (x - 1)2 - 3
y = (x - 1)2 + 3
y = (x + 1)2 + 3
y = (x + 1)2 - 3
Which of the following equations best describes the blue graph above?
y = (x - 5)2 + 3
y = (x + 5)2 - 3
y = (x - 5)2 - 3
y = (x + 5)2 + 3
Which of the following equations best describes the red graph above?
y = (x + 2)2 - 1
y = (x + 2)2 + 1
y = (x - 2)2 + 1
y = (x - 2)2 - 1
Which of the following equations best describes the blue graph above?
y = (x - 2)2 - 3
y = (x + 2)2 - 3
y = (x - 3)2 + 2
y = (x - 3)2 - 2
Which of the following equations best describes the red graph above?
y = -(x + 2)2
y = -(x - 2)2
y = -(x + 2)2 - 1
y = -(x + 1)2 + 2
Which of the following equations best describes the blue graph above?
y = -(x + 3)2 - 2
y = (x - 3)2 + 2
y = (x + 2)2 - 3
y = -(x + 2)2 - 3
Which of the following equations best describes the red graph above?
y = -(x + 4)2
y = (x + 4)2
y = -(x - 4)2
y = (x - 4)2
Which of the following equations best describes the blue graph above?
y = (x - 3)2
y = -(x - 3)2
y = -x2 - 3
y = x2 - 3
Which of the following equations best describes the red graph above?
y = x2 + 3
y = x2 - 3
y = -(x - 3)2
y = -x2 - 3
Which of the following equations describes a quadratic translated up 2 units?
y = x2 + 2
y = x2 - 2
y = (x + 2)2
y = (x - 2)2
Which of the following equations describes a quadratic translated left 1 unit?
y = (x - 1)2
y = (x + 1)2
y = x2 + 1
y = x2 - 1
Which of the following equations describes a quadratic translated left 1 unit and reflected over the x-axis?
y = -x2 - 1
y = x2 - 1
y = (x - 1)2
y = -(x + 1)2
Which of the following equations describes a quadratic translated left 2 units and down 1 unit?
y = (x + 2)2 - 1
y = (x - 2)2 + 1
y = (x + 1)2 - 2
y = (x - 1)2 + 2
Which of the following equations describes a quadratic translated up 10 units and reflected over the x-axis?
y = -x2
y = -10x2
y = -(x + 10)2
y = -x2 + 10
Which of the following equations describes a quadratic translated left 5 units and compressed by a factored of 0.4?
y = 0.4x2
y = (x - 5)2
y = (x + 5)2
y = 0.4(x + 5)2
Which of the following equations describes a quadratic reflected over the x-axis and translated up 7 units?
y = -x2 + 7
y = x2 + 7
y = -x2 - 7
y = -(x - 7)2
Which of the following equations describes a quadratic translated right 1 unit and vertical stretched by a factor of 2?
y = 2x2
y = (x + 2)2
y = 2(x - 1)2
y = 2(x + 1)2
Which of the following equations describes a quadratic translated down 2 units and vertically compressed by a factor of 0.5?
y = 0.5x2 - 2
y = 0.5x2 + 2
y = 2x2 - 0.5
y = 2(x - 0.5)2
Which of the following equations describes a quadratic translated up 4 units and right 2 units?
y = (x + 4)2 + 2
y = (x - 2)2 + 4
y = (x + 2)2 + 4
y = (x - 4)2 - 2
Gerry plotted the equation y = x2 - 3 on a coordinate grid. He wants to translate his graph 4 units left and 3 units up. Which of the following will be the equation of the translated graph?
y = (x + 4)2 + 3
y = (x - 4)2 + 3
y = (x + 4)2
y = (x - 4)2
Gary plotted the equation y = (x - 1)2 + 3 on a coordinate grid. He wants to translate his graph 4 units left and 3 units up. Which of the following will be the equation of the translated graph?
y = (x + 4)2 - 3
y = (x + 4)2 + 3
y = (x - 5)2 + 6
y = (x + 3)2 + 6
Gary plotted the equation y = (x - 1)2 + 3 on a coordinate grid. He wants to reflect his graph over the x-axis and then translated it 2 units down. Which of the following will be the equation of the translated graph?
y = -(x - 1)2 + 1
y = (x - 1)2 + 1
y = -(x - 3)2 + 3
y = -(x - 1)2 + 5
Gary plotted the equation y = (x + 5)2 + 3 on a coordinate grid. He wants to translate his graph 2 units left and 10 units up. Which of the following will be the equation of the translated graph?
y = (x + 7)2 + 7
y = (x + 7)2 + 13
y = (x - 3)2 + 7
y = (x + 3)2 - 13
Gordon plotted the equation y = x2 - 1 on a coordinate grid. He wants to translate his graph 4 units left and 3 units up. Which of the following will be the equation of the translated graph?
y = (x - 4)2 + 3
y = (x + 4)2 + 2
y = (x + 4)2 - 2
y = (x - 4)2 - 3
Gary plotted the equation y = -x2 on a coordinate grid. He wants to translate his graph 4 units right and stretch it by a scale factor of 2. Which of the following will be the equation of the translated graph?
y = 2x2 + 4
y = -2x2 + 4
y = -2(x + 4)2
y = -2(x - 4)2
Gary plotted the equation y = -x2 on a coordinate grid. He wants to translate his graph 4 units down and compress it by a scale factor of 0.5. Which of the following will be the equation of the translated graph?
y = 0.5x2
y = -0.5x2 - 4
y = -0.5x2
y = -x2 - 4
Describe the transformation(s) in the equation below:
y = (x + 10)2 - 124
Translated left 10 units
Translated down 124 units
Translated left 124 units
Translated up 10 units
Describe the following transformation(s) given the equation below:
y = (x - 5)2 - 49
Translated right 5 units
Translated right 49 units
Reflected over the x-axis
Translated down 49 units
Describe the transformation(s) in the equation below:
y = -3(x - 2)2
Reflected over the x-axis
Vertical stretch by a factor of 2
Vertical stretch by a factor of 3
Translated right 2 units
