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Describe the transformation from y = f(x)

11th grade (Year 12 in England) Β· 16 questions Β· Common Core: HSF.BF.B.3 Β· England: A-level Pure Mathematics

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  1. Question 1

    Which transformation maps y = f(x) onto y = 3f(x)?

    • A. Horizontal stretch, scale factor 1/3
    • B. Reflection in the y-axis
    • C. Vertical stretch, scale factor 3
    • D. Reflection in the x-axis
  2. Question 2

    The point (βˆ’4, 3) lies on y = f(x). Where does it move to on y = βˆ’f(x)? Type it like (2, βˆ’1).

    Answer

  3. Question 3

    Which transformation maps y = f(x) onto y = f(x) + 3?

    • A. Reflection in the x-axis
    • B. Translation 3 units left
    • C. Horizontal stretch, scale factor 1/3
    • D. Translation 3 units up
  4. Question 4

    The point (3, 0) lies on y = f(x). Where does it move to on y = f(x βˆ’ 3) βˆ’ 1? Type it like (2, βˆ’1).

    Answer

  5. Question 5

    Which transformation maps y = f(x) onto y = f(βˆ’x)?

    • A. Reflection in the y-axis
    • B. Horizontal stretch, scale factor 5
    • C. Vertical stretch, scale factor 5
    • D. Reflection in the x-axis
  6. Question 6

    The point (6, 3) lies on y = f(x). Where does it move to on y = f(x + 4) + 1? Type it like (2, βˆ’1).

    Answer

  7. Question 7

    Which transformation maps y = f(x) onto y = 3f(x)?

    • A. Reflection in the y-axis
    • B. Vertical stretch, scale factor 3
    • C. Reflection in the x-axis
    • D. Translation 3 units right
  8. Question 8

    The point (1, 4) lies on y = f(x). Where does it move to on y = βˆ’f(x)? Type it like (2, βˆ’1).

    Answer

  9. Question 9

    Which transformation maps y = f(x) onto y = f(x + 5)?

    • A. Translation 5 units right
    • B. Translation 5 units left
    • C. Vertical stretch, scale factor 5
    • D. Reflection in the x-axis
  10. Question 10

    The point (βˆ’3, βˆ’6) lies on y = f(x). Where does it move to on y = 6f(x)? Type it like (2, βˆ’1).

    Answer

  11. Question 11

    Which transformation maps y = f(x) onto y = βˆ’f(x)?

    • A. Reflection in the x-axis
    • B. Horizontal stretch, scale factor 1/3
    • C. Vertical stretch, scale factor 3
    • D. Translation 3 units up
  12. Question 12

    The point (βˆ’3, 6) lies on y = f(x). Where does it move to on y = βˆ’f(x)? Type it like (2, βˆ’1).

    Answer

  13. Question 13

    Which transformation maps y = f(x) onto y = f(x) + 2?

    • A. Horizontal stretch, scale factor 2
    • B. Vertical stretch, scale factor 2
    • C. Reflection in the x-axis
    • D. Translation 2 units up
  14. Question 14

    The point (βˆ’1, 5) lies on y = f(x). Where does it move to on y = 2f(x)? Type it like (2, βˆ’1).

    Answer

  15. Question 15

    Which transformation maps y = f(x) onto y = f(2x)?

    • A. Horizontal stretch, scale factor 2
    • B. Translation 2 units up
    • C. Horizontal stretch, scale factor 1/2
    • D. Reflection in the x-axis
  16. Question 16

    The point (βˆ’6, 5) lies on y = f(x). Where does it move to on y = βˆ’f(x)? Type it like (2, βˆ’1).

    Answer

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Answer key: Describe the transformation from y = f(x)

  1. 1. C. Vertical stretch, scale factor 3

  2. 2. (βˆ’4, βˆ’3)

  3. 3. D. Translation 3 units up

  4. 4. (6, βˆ’1)

  5. 5. A. Reflection in the y-axis

  6. 6. (2, 4)

  7. 7. B. Vertical stretch, scale factor 3

  8. 8. (1, βˆ’4)

  9. 9. B. Translation 5 units left

  10. 10. (βˆ’3, βˆ’36)

  11. 11. A. Reflection in the x-axis

  12. 12. (βˆ’3, βˆ’6)

  13. 13. D. Translation 2 units up

  14. 14. (βˆ’1, 10)

  15. 15. C. Horizontal stretch, scale factor 1/2

  16. 16. (βˆ’6, βˆ’5)