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Transformations of functions

11th grade (Year 12 in England) · 16 questions · Common Core: HSF.BF.B.3 · England: GCSE Higher Algebra

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Score/ 16

  1. Question 1

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

    • A. translate up 4
    • B. translate left 4
    • C. reflect in the x-axis
    • D. reflect in the y-axis

  2. Question 2

    The graph of y = x² is transformed to y = (x + 3)² − 5. Where is the new vertex? Type it like (2, −1).

    xy−10−8−6−4−2246810−10−8−6−4−22468100O

    Answer

  3. Question 3

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

    • A. translate up 5
    • B. translate left 5
    • C. reflect in the x-axis
    • D. reflect in the y-axis

  4. Question 4

    The graph of y = x² is transformed to y = (x − 5)² + 5. Where is the new vertex? Type it like (2, −1).

    xy−10−8−6−4−2246810−10−8−6−4−22468100O

    Answer

  5. Question 5

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

    • A. translate up 3
    • B. translate left 3
    • C. reflect in the x-axis
    • D. reflect in the y-axis

  6. Question 6

    The graph of y = x² is transformed to y = (x + 5)² + 2. Where is the new vertex? Type it like (2, −1).

    xy−10−8−6−4−2246810−10−8−6−4−22468100O

    Answer

  7. Question 7

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

    • A. translate up 3
    • B. translate left 3
    • C. reflect in the x-axis
    • D. reflect in the y-axis

  8. Question 8

    The graph of y = x² is transformed to y = (x + 2)² + 2. Where is the new vertex? Type it like (2, −1).

    xy−10−8−6−4−2246810−10−8−6−4−22468100O

    Answer

  9. Question 9

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

    • A. translate up 2
    • B. translate left 2
    • C. reflect in the x-axis
    • D. reflect in the y-axis

  10. Question 10

    The graph of y = x² is transformed to y = (x + 3)² + 3. Where is the new vertex? Type it like (2, −1).

    xy−10−8−6−4−2246810−10−8−6−4−22468100O

    Answer

  11. Question 11

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

    • A. translate up 3
    • B. translate left 3
    • C. reflect in the x-axis
    • D. reflect in the y-axis

  12. Question 12

    The graph of y = x² is transformed to y = (x)² − 1. Where is the new vertex? Type it like (2, −1).

    xy−10−8−6−4−2246810−10−8−6−4−22468100O

    Answer

  13. Question 13

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

    • A. translate up 2
    • B. translate left 2
    • C. reflect in the x-axis
    • D. reflect in the y-axis

  14. Question 14

    The graph of y = x² is transformed to y = (x − 3)² + 4. Where is the new vertex? Type it like (2, −1).

    xy−10−8−6−4−2246810−10−8−6−4−22468100O

    Answer

  15. Question 15

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

    • A. translate up 4
    • B. translate left 4
    • C. reflect in the x-axis
    • D. reflect in the y-axis

  16. Question 16

    The graph of y = x² is transformed to y = (x − 6)² + 1. Where is the new vertex? Type it like (2, −1).

    xy−10−8−6−4−2246810−10−8−6−4−22468100O

    Answer

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  1. reflect in the y-axis
  2. (−3, −5)
  3. translate left 5
  4. (5, 5)
  5. reflect in the y-axis
  6. (−5, 2)
  7. reflect in the y-axis
  8. (−2, 2)
  9. translate up 2
  10. (−3, 3)
  11. translate up 3
  12. (0, −1)
  13. translate left 2
  14. (3, 4)
  15. translate left 4
  16. (6, 1)