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Describe the transformation from y = f(x)

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

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  1. Question 1

    The point (2, −6) lies on y = f(x). Where does it move to on y = f(x + 5) + 3? Type it like (2, −1).

    Answer

  2. Question 2

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

    • A. Translation 3 units right
    • B. Translation 3 units up
    • C. Translation 3 units left
    • D. Reflection in the y-axis

  3. Question 3

    The point (5, −4) lies on y = f(x). Where does it move to on y = −f(x)? Type it like (2, −1).

    Answer

  4. Question 4

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

    • A. Horizontal stretch, scale factor 5
    • B. Horizontal stretch, scale factor 1/5
    • C. Vertical stretch, scale factor 5
    • D. Translation 5 units left

  5. Question 5

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

    Answer

  6. Question 6

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

    • A. Reflection in the y-axis
    • B. Translation 3 units left
    • C. Reflection in the x-axis
    • D. Translation 3 units right

  7. Question 7

    The point (−4, 1) lies on y = f(x). Where does it move to on y = f(x − 1) + 5? Type it like (2, −1).

    Answer

  8. Question 8

    Which transformation maps y = f(x) onto y = f(4x)?

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

  9. Question 9

    The point (2, 5) lies on y = f(x). Where does it move to on y = 3f(x)? Type it like (2, −1).

    Answer

  10. Question 10

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

    • A. Horizontal stretch, scale factor 2
    • B. Vertical stretch, scale factor 2
    • C. Horizontal stretch, scale factor 1/2
    • D. Translation 2 units right

  11. Question 11

    The point (−6, −5) lies on y = f(x). Where does it move to on y = 3f(x)? Type it like (2, −1).

    Answer

  12. Question 12

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

    • A. Reflection in the y-axis
    • B. Translation 2 units up
    • C. Translation 2 units right
    • D. Translation 2 units left

  13. Question 13

    The point (−4, 0) lies on y = f(x). Where does it move to on y = f(x + 3) − 5? Type it like (2, −1).

    Answer

  14. Question 14

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

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

  15. Question 15

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

    Answer

  16. Question 16

    Which transformation maps y = f(x) onto y = f(x + 4)?

    • A. Translation 4 units left
    • B. Translation 4 units right
    • C. Reflection in the x-axis
    • D. Reflection in the y-axis

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  1. (−3, −3)
  2. Translation 3 units up
  3. (5, 4)
  4. Horizontal stretch, scale factor 1/5
  5. (4, 10)
  6. Reflection in the y-axis
  7. (−3, 6)
  8. Horizontal stretch, scale factor 1/4
  9. (2, 15)
  10. Horizontal stretch, scale factor 1/2
  11. (−6, −15)
  12. Reflection in the y-axis
  13. (−7, −5)
  14. Reflection in the x-axis
  15. (9, 0)
  16. Translation 4 units left