Graph sine and cosine, and read amplitude, period, midline and phase shift

Answer Key - Grade 11 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Bo graphs y = 2 sin(3x) + 1 with x in radians. What is the period, in terms of π?

   2π/3
2. 2.

   Esme graphs y = 4 cos(4x) − 1 with x in radians. What is the period, in terms of π?

   π/2
3. 3.

   Jun graphs y = -5 sin(6x) + 2 with x in radians. What is the period, in terms of π?

   π/3
4. 4.

   Kira graphs y = 3 cos(5x) + 4 with x in radians. What is the period, in terms of π?

   2π/5
5. 5.

   Luz graphs y = 3 sin(4x) − 2 with x in degrees. What is the period, in degrees?

   90
6. 6.

   Milo graphs y = -2 cos(6x) + 1 with x in degrees. What is the period, in degrees?

   60
7. 7.

   Pia graphs y = cos(12x) + 3 with x in degrees. What is the period, in degrees?

   30
8. 8.

   Zee graphs the first cycle of y = -2 sin(4x) + 1, starting at x = 0. At what x is its highest point?

   3π/8
9. 9.

   Ari graphs the first cycle of y = -4 cos(3x) + 2, starting at x = 0. At what x is its highest point?

   π/3
10. 10.

    Bo graphs the first cycle of y = 5 sin(3x) − 1, starting at x = 0. At what x is its highest point?

    π/6