Quiz about Quadratic Transformations

Question 1

Describe the transformation(s):

y = x² - 3

Accepted Answer

Translated down 3 units

Answer

Translated left 3 units

Answer

Translated right 3 units

Answer

Translated up 3 units

Question 2

Describe the transformation(s):

y = x² + 11

Accepted Answer

Translated up 11 units

Answer

Translated right 11 units

Answer

Translated left 11 units

Answer

Translated down 11 units

Question 3

Describe the transformation(s):

y = (x + 4)²

Accepted Answer

Translated left 4 units

Answer

Translated up 4 units

Answer

Translated right 4 units

Answer

Translated down 4 units

Question 4

Describe the transformation(s):

y = (x - 2.5)²

Accepted Answer

Translated right 2.5 units

Answer

Translated left 2.5 units

Answer

Translated down 2.5 units

Answer

Translated up 2.5 units

Question 5

Describe the transformation(s):

y = -x²

Accepted Answer

Reflected over the x-axis

Answer

Translated down 1 unit

Answer

Translated right 1 unit

Answer

Vertical compression by a factor of 1

Question 6

Describe the transformation(s):

y = 2x²

Accepted Answer

Vertical stretch by a factor of 2

Answer

Vertical compression by a factor of 2

Answer

Translated up 2 units

Answer

Reflected over the x-axis

Question 7

Describe the transformation(s):

y = 0.25x²

Accepted Answer

Vertical compression by a factor of 0.25

Answer

Translated right 0.25 units

Answer

Translated up 0.25 units

Answer

Vertical stretch by a factor of 0.25

Question 8

Describe the transformation(s):

y = -x² + 3

Accepted Answer

Reflected over the x-axis

Accepted Answer

Translated up 3 units

Answer

Vertical stretch by a factor of 3

Answer

Translated left 3 units

Question 9

Describe the transformation(s):

y = (x + 6)² + 3

Accepted Answer

Translated left 6 units

Accepted Answer

Translated up 3 units

Answer

Translated right 6 units

Answer

Translated down 3 units

Question 10

Describe the transformation(s):

y = 10(x - 11)²

Accepted Answer

Vertical stretch by a factor of 10

Accepted Answer

Translated right 11 units

Answer

Reflected over the x-axis

Answer

Translated left 11 units

Question 11

Describe the transformation(s):

y = (x - 2)² - 1

Accepted Answer

Translated down 1 unit

Accepted Answer

Translated right 2 units

Answer

Translated left 1 unit

Answer

Translated down 2 units

Question 12

Describe the transformation(s):

y = -4x² + 6

Accepted Answer

Reflected over the x-axis

Accepted Answer

Vertical stretch by a factor of 4

Accepted Answer

Translated right 6 units

Answer

Translated up 6 units

Question 13

Describe the transformation(s):

y = 8x² + 7

Accepted Answer

Translated up 7 units

Accepted Answer

Vertical stretch by a factor of 8

Answer

Vertical stretch by a factor of 7

Answer

Translated right 8 units

Question 14

Describe the transformation(s):

y = (x + 18)² - 11

Accepted Answer

Translated left 18 units

Accepted Answer

Translated down 11 units

Answer

Translated up 18 units

Answer

Translated left 11 units

Question 15

Describe the transformation(s):

y = -9(x + 8)² - 4

Accepted Answer

Vertical stretch by a factor of 9

Accepted Answer

Translated left 8 units

Accepted Answer

Translated down 4 units

Accepted Answer

Reflected over the x-axis

Question 16

f(x) = x² + 3 is transformed to become g(x) = x² + 13. Describe the transformation(s) from f(x) to g(x).

Accepted Answer

Translated up 10 units

Answer

Translated up 13 units

Answer

Translated left 3 units

Answer

Translated down 13 units

Question 17

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).

Accepted Answer

Reflected over the x-axis

Accepted Answer

Translated 2 units right

Answer

Translated 2 units left

Answer

Translated down 2 units

Question 18

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).

Accepted Answer

Translated down 2 units

Accepted Answer

Reflected over the x-axis

Answer

Translated left 10 units

Answer

Translated up 2 units

Question 19

Bill graphed y = 3x² + 8 and Joy graphed y = 3x² + 4. What statement describes the difference between the two graphs?

Accepted Answer

Joy's graph is located further down on the y-axis than Bill's graph.

Answer

Joy's graph is wider than Bill's graph.

Answer

Joy's graph is half the size of Bill's graph.

Answer

Joy's graph is located to the left of Bill's graph.

Question 20

Bill graphed y = x² and Joy graphed y = 3(x + 5)². What statement(s) describe the difference between the two graphs?

Accepted Answer

Joy's graph is skinnier than Bill's graph.

Accepted Answer

Joy's graph is located to the left of Bill's graph.

Answer

Joy's graph is wider than Bill's graph.

Answer

Joy's graph is located further down on the y-axis than Bill's graph.

Question 21

Bill graphed y = (x + 7)² and Joy graphed y = (x - 5)² + 9. What statement(s) describe the difference between the two graphs?

Accepted Answer

Joy's graph is located further up on the y-axis than Bill's graph.

Accepted Answer

Joy's graph is located to the right of Bill's graph.

Answer

Joy's graph is located further down on the y-axis than Bill's graph.

Answer

Joy's graph is located to the left of Bill's graph.

Question 22

What would the transformation between the graph of f(x) = x² + 3 and the graph of g(x) = (x - 2)² + 3 be?

Accepted Answer

Translated right 2 units

Answer

Translated up 3 units

Answer

Translated down 2 units

Answer

Reflected over the x-axis

Question 23

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?

Accepted Answer

Translated up 5 units

Answer

Translated up 3 units

Answer

Translated right 7 units

Answer

Translated down 5 units

Question 24

What would the transformation between the graph of f(x) = x² - 11 and the graph of g(x) = -x² - 11 be?

Accepted Answer

Reflected over the x-axis

Answer

Translated down 11 units

Answer

Translated left 11 units

Answer

Vertical stretch by a factor of 11

Question 25

What would the transformation between the graph of f(x) = (x + 5)² and the graph of g(x) = (x + 9)² - 1 be?

Accepted Answer

Translated left 4 units

Accepted Answer

Translated down 1 unit

Answer

Translated left 5 units

Answer

Translated right1 unit

Question 26

Describe the transformation(s) of the parent function in the graph above.

Accepted Answer

Reflected over the x-axis

Accepted Answer

Translated up 1 unit

Answer

Translated down 1 unit

Answer

Translated left 1 unit

Question 27

Describe the transformation(s) of the parent function in the graph above.

Accepted Answer

Translated up 2 units

Answer

Translated left 2 units

Answer

Translated down 2 units

Answer

Translated right 2 units

Question 28

Describe the transformation(s) of the parent function in the graph above.

Accepted Answer

Vertical compression by a factor of 0.5

Accepted Answer

Translated down 2 units

Answer

Translated left 2 units

Answer

Reflected over the x-axis

Question 29

Describe the transformation(s) of the parent function in the graph above.

Accepted Answer

Translated right 1 unit

Answer

Reflected over the x-axis

Answer

Vertical stretch by a factor fo 2

Answer

Translated left 1 unit

Question 30

Describe the transformation(s) of the parent function in the graph above.

Accepted Answer

Translated left 3 units

Answer

Translated up 3 units

Answer

Translated right 3 units

Answer

Reflected over the x-axis

Question 31

Describe the transformation(s) of the parent function in the graph above.

Accepted Answer

Translated left 1 unit

Accepted Answer

Translated up 2 units

Answer

Translated right 2 units

Answer

Translated up 3 units

Question 32

Describe the transformation(s) of the parent function in the graph above.

Accepted Answer

Vertical stretch by a factor of 2

Accepted Answer

Translated right 1 unit

Accepted Answer

Translated down 2 units

Answer

Reflected over the x-axis

Question 33

Describe the transformation(s) of the parent function in the graph above.

Accepted Answer

Vertical compression by a factor of 0.5

Answer

Reflection over the x-axis

Answer

Translated 2 units left

Answer

Translated 3 units down

Question 34

Describe the transformation(s) of the parent function in the graph above.

Accepted Answer

Translated right 3 units

Answer

Translated up 3 units

Answer

Translated left 3 units

Answer

Reflected over the x-axis

Question 35

How was the red graph transformed to become the blue graph?

Accepted Answer

Reflected over the x-axis

Accepted Answer

Translated up 3 units

Accepted Answer

Translated right 1 unit

Answer

Translated left 3 units

Question 36

How was the red graph transformed to become the blue graph?

Accepted Answer

Translated right 4 units

Answer

Translated left 4 units

Answer

Translated down 4 units

Answer

Translated up 4 units

Question 37

How was the red graph transformed to become the blue graph?

Accepted Answer

Translated down 2 units

Accepted Answer

Translated right 4 units

Answer

Translated up 3 units

Answer

Reflected over the x-axis

Question 38

How was the red graph transformed to become the blue graph?

Accepted Answer

Translated down 2 units

Answer

Translated up 2 units

Answer

Translated left 2 units

Answer

Reflected over the x-axis

Question 39

How was the red graph transformed to become the blue graph?

Accepted Answer

Translated down 3 units

Accepted Answer

Translated right 4 units

Answer

Reflected over the x-axis

Answer

Translated up 3 units

Question 40

How was the red graph transformed to become the blue graph?

Accepted Answer

Reflected over the x-axis

Answer

Translated down 3 units

Answer

Translated left 3 units

Answer

Vertical stretch by a factor of 2

Question 41

Which of the following equations best describes the graph above?

Accepted Answer

y = -x² + 1

Answer

y = x² + 1

Answer

y = -x2

Answer

y = -(x + 1)²

Question 42

Which of the following equations best describes the graph above?

Accepted Answer

y = x² + 2

Answer

y = x² - 2

Answer

y = (x + 2)²

Answer

y = (x - 2)²

Question 43

Which of the following equations best describes the graph above?

Accepted Answer

y = 0.25x² - 2

Answer

y = 0.25(x + 2)²

Answer

y = 0.25(x - 2)²

Answer

y = x² - 2

Question 44

Which of the following equations best describes the graph above?

Accepted Answer

y = (x - 1)²

Answer

y = (x + 1)²

Answer

y = x² + 1

Answer

y = x² - 1

Question 45

Which of the following equations best describes the graph above?

Accepted Answer

y = (x + 3)²

Answer

y = (x - 3)²

Answer

y = x² + 3

Answer

y = x² - 3

Question 46

Which of the following equations best describes the graph above?

Accepted Answer

y = (x + 1)² + 2

Answer

y = (x - 2)² + 2

Answer

y = (x + 2)² - 1

Answer

y = (x - 1)² - 2

Question 47

Which of the following equations best describes the graph above?

Accepted Answer

y = 2(x - 1)² - 2

Answer

y = x² - 2

Answer

y = 2x² + 1

Answer

y = 2(x + 1)² + 2

Question 48

Which of the following equations best describes the graph above?

Accepted Answer

y = 0.25x²

Answer

y = x2

Answer

y = -0.25x²

Answer

y = 4x2

Question 49

Which of the following equations best describes the graph above?

Accepted Answer

y = (x - 3)²

Answer

y = (x + 3)²

Answer

y = x² - 3

Answer

y = x² + 3

Question 50

Which of the following equations best describes the red graph above?

Accepted Answer

y = x² - 3

Answer

y = -x² + 3

Answer

y = (x + 3)²

Answer

y = -(x - 3)²

Question 51

Which of the following equations best describes the blue graph above?

Accepted Answer

y = -(x - 1)²

Answer

y = x² - 3

Answer

y = (x - 1)²

Answer

y = -(x + 2)²

Question 52

Which of the following equations best describes the red graph above?

Accepted Answer

y = (x - 1)² - 3

Answer

y = (x - 1)² + 3

Answer

y = (x + 1)² + 3

Answer

y = (x + 1)² - 3

Question 53

Which of the following equations best describes the blue graph above?

Accepted Answer

y = (x - 5)² - 3

Answer

y = (x - 5)² + 3

Answer

y = (x + 5)² - 3

Answer

y = (x + 5)² + 3

Question 54

Which of the following equations best describes the red graph above?

Accepted Answer

y = (x + 2)² - 1

Answer

y = (x + 2)² + 1

Answer

y = (x - 2)² + 1

Answer

y = (x - 2)² - 1

Question 55

Which of the following equations best describes the blue graph above?

Accepted Answer

y = (x - 2)² - 3

Answer

y = (x + 2)² - 3

Answer

y = (x - 3)² + 2

Answer

y = (x - 3)² - 2

Question 56

Which of the following equations best describes the red graph above?

Accepted Answer

y = -(x + 2)² - 1

Answer

y = -(x + 2)²

Answer

y = -(x - 2)²

Answer

y = -(x + 1)² + 2

Question 57

Which of the following equations best describes the blue graph above?

Accepted Answer

y = -(x + 2)² - 3

Answer

y = -(x + 3)² - 2

Answer

y = (x - 3)² + 2

Answer

y = (x + 2)² - 3

Question 58

Which of the following equations best describes the red graph above?

Accepted Answer

y = -(x + 4)²

Answer

y = (x + 4)²

Answer

y = -(x - 4)²

Answer

y = (x - 4)²

Question 59

Which of the following equations best describes the blue graph above?

Accepted Answer

y = -x² - 3

Answer

y = (x - 3)²

Answer

y = -(x - 3)²

Answer

y = x² - 3

Question 60

Which of the following equations best describes the red graph above?

Accepted Answer

y = x² - 3

Answer

y = x² + 3

Answer

y = -(x - 3)²

Answer

y = -x² - 3

Question 61

Which of the following equations describes a quadratic translated up 2 units?

Accepted Answer

y = x² + 2

Answer

y = x² - 2

Answer

y = (x + 2)²

Answer

y = (x - 2)²

Question 62

Which of the following equations describes a quadratic translated left 1 unit?

Accepted Answer

y = (x + 1)²

Answer

y = (x - 1)²

Answer

y = x² + 1

Answer

y = x² - 1

Question 63

Which of the following equations describes a quadratic translated left 1 unit and reflected over the x-axis?

Accepted Answer

y = -(x + 1)²

Answer

y = -x² - 1

Answer

y = x² - 1

Answer

y = (x - 1)²

Question 64

Which of the following equations describes a quadratic translated left 2 units and down 1 unit?

Accepted Answer

y = (x + 2)² - 1

Answer

y = (x - 2)² + 1

Answer

y = (x + 1)² - 2

Answer

y = (x - 1)² + 2

Quadratic Transformations

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