Question

Response area with 3 blank spaces
y equals
Blank space 1 empty
cosine left-parenthesis
Blank space 2 empty
x right-parenthesis End cosine plus
Blank space 3 empty
Answer options with 6 options.
Answer Options
2 pi
4 pi
1
2
3
4

Answer 1

I’m missing the graph or any numbers to determine the three blanks. Do you have a graph or specific max/min/period values? If you share those I can pick the correct three options.

How to fill the blanks (what to measure from a cosine graph)
- Blank 1 = amplitude A = (max − min)/2. Choose the option equal to that.
- Blank 2 = the inside coefficient B (angular frequency) = 2π / period. Compute 2π ÷ period and pick the matching option (2π or 4π or 1,2,3,4).
- Blank 3 = vertical shift C = (max + min)/2. Choose the option equal to that.

Example: if the graph’s max = 4, min = −2, and one full cycle spans 1 unit on the x‑axis:
- amplitude A = (4 − (−2))/2 = 3 → choose 3 for blank 1
- period = 1 → B = 2π/1 = 2π → choose 2π for blank 2
- vertical shift = (4 + (−2))/2 = 1 → choose 1 for blank 3

If you post the graph or the max/min/period values, I’ll fill in the exact three choices.