Question

What is an equation of this function? Move values to the lines to give an equation for this function.

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 don’t see the graph — I need the function’s key values (or the image) to place the three numbers. Can you either upload the graph or tell me:

- the y-value of a maximum and a minimum (or the midline and amplitude), and
- the x-distance between two consecutive peaks (or troughs) so I can find the period,
- and whether there is any vertical shift shown (midline value).

How I’ll use those to fill the blanks y = A cos(Bx) + C:
- Amplitude A = (max − min)/2 (choose from 1,2,3,4).
- Midline C = (max + min)/2 (choose from 1,2,3,4).
- Period P = distance between adjacent peaks (or troughs); then B = 2π / P (so B will be 2π or 4π from your answer choices if P = 1 or 1/2 respectively).

Give the numbers or the image and I’ll fill in the three blanks.