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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

    For y = −3cos(4x) + 2 (x in degrees), what is the amplitude?

    Answer

  2. Question 2

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

    Answer

  3. Question 3

    What is the period of y = 4cos(2x), with x in radians? Give it in terms of π.

    Answer

  4. Question 4

    For y = 3cos(x) (x in degrees), what is the amplitude?

    Answer

  5. Question 5

    What is the minimum value of y = sin x + 0?

    Answer

  6. Question 6

    What is the period of y = 5cos(6x), with x in radians? Give it in terms of π.

    Answer

  7. Question 7

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

    Answer

  8. Question 8

    What is the maximum value of y = 4sin x − 3?

    Answer

  9. Question 9

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

    Answer

  10. Question 10

    For y = 2cos(6x) − 1 (x in degrees), what is the period, in degrees?

    Answer

  11. Question 11

    What is the maximum value of y = 2sin x + 5?

    Answer

  12. Question 12

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

    Answer

  13. Question 13

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

    Answer

  14. Question 14

    What is the maximum value of y = 5sin x − 3?

    Answer

  15. Question 15

    What is the period of y = 5cos(6x), with x in radians? Give it in terms of π.

    Answer

  16. Question 16

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

    Answer

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  1. 3
  2. 0
  3. pi/1
  4. 3
  5. -1
  6. pi/3
  7. -3
  8. 1
  9. 2*pi/3
  10. 60
  11. 7
  12. 2*pi/3
  13. 0
  14. 2
  15. pi/3
  16. 6