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Read amplitude, period and midline from y = a sin(bx) + d

12th grade (Year 13 in England) · 16 questions · Common Core: HSF.TF.B.5, HSF.IF.C.7.E · England: A-level Pure Mathematics

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  1. Question 1

    What is the period of y = cos(3x), with x in radians? Give it in terms of π.

    Answer

  2. Question 2

    What is the maximum value of y = 5sin x − 1?

    Answer

  3. Question 3

    For y = 4cos(x) − 4 (x in degrees), what is the period, in degrees?

    Answer

  4. Question 4

    What is the period of y = 2cos(3x), with x in radians? Give it in terms of π.

    Answer

  5. Question 5

    What is the maximum value of y = 6sin x + 6?

    Answer

  6. Question 6

    For y = cos(6x) − 2 (x in degrees), what is the period, in degrees?

    Answer

  7. Question 7

    What is the period of y = 3cos(3x), with x in radians? Give it in terms of π.

    Answer

  8. Question 8

    What is the minimum value of y = 3sin x + 1?

    Answer

  9. Question 9

    For y = 5cos(x) − 4 (x in degrees), what is the midline value (y = ?)?

    Answer

  10. Question 10

    What is the period of y = 5cos(2x), with x in radians? Give it in terms of π.

    Answer

  11. Question 11

    What is the minimum value of y = 5sin x − 4?

    Answer

  12. Question 12

    For y = −2cos(3x) − 2 (x in degrees), what is the midline value (y = ?)?

    Answer

  13. Question 13

    What is the period of y = 3cos(6x), with x in radians? Give it in terms of π.

    Answer

  14. Question 14

    What is the maximum value of y = 3sin x − 1?

    Answer

  15. Question 15

    For y = sin(5x) + 1 (x in degrees), what is the midline value (y = ?)?

    Answer

  16. Question 16

    What is the period of y = 2cos(3x), with x in radians? Give it in terms of π.

    Answer

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Answer key: Read amplitude, period and midline from y = a sin(bx) + d

  1. 1. 2*pi/3

  2. 2. 4

  3. 3. 360

  4. 4. 2*pi/3

  5. 5. 12

  6. 6. 60

  7. 7. 2*pi/3

  8. 8. -2

  9. 9. -4

  10. 10. pi/1

  11. 11. -9

  12. 12. -2

  13. 13. pi/3

  14. 14. 2

  15. 15. 1

  16. 16. 2*pi/3