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

Answer Key - Grade 11 Math Worksheet - Building Confidence

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

1. 1.

   Ari graphs y = 6 sin x + 5. What is the amplitude?

   6
2. 2.

   Bo graphs y = -4 cos x + 1. What is the amplitude?

   4
3. 3.

   Esme graphs y = 5 sin x − 3. What is the amplitude?

   5
4. 4.

   Jun graphs y = -2 cos x + 6. What is the amplitude?

   2
5. 5.

   Kira has the table of y = sin x. What height goes in the row x = 3π/2 for y = 4 sin x + 11?

   7
7. 6.

   Luz has the table of y = cos x. What height goes in the row x = π for y = 5 cos x − 8?

   -13
8. 7.

   Noah has the table of y = cos x. What height goes in the row x = π for y = -7 cos x + 5?

   Use the picture in question 6.

   12
9. 8.

   Ren plots a cosine graph from its table. What is the height of its midline?

   6
10. 9.

    “plotted from its table” Zee plots a sine graph from its table. What is its amplitude?

    3
11. 10.

    Ari plots a cosine graph from its table. What is the height of its midline?

    -3