Question

The graph of a sine function is shown.





Question
Move numbers into the blanks of the sine equation to create the function that represents the graph.

Response area with 3 blank spaces
f of x equals
Blank space 6 empty
sin left-parenthesis
Blank space 7 empty
x right-parenthesis End sine minus
Blank space 8 empty
Answer options with 7 options.

Answer 1

I don't see the graph image. Could you either upload the graph or tell me these three things from the graph:

1. The maximum y-value and the minimum y-value (or the midline and amplitude).
2. The horizontal distance between two consecutive peaks (or troughs) — that is the period T.
3. Confirm whether the graph has any horizontal (phase) shift; the template you showed looks like f(x) = A sin(Bx) − D, which assumes no horizontal shift.

How I'll use those:

- Amplitude A = (max − min)/2.
- Vertical shift (midline) M = (max + min)/2. Your template uses "− D" at the end, so the final blank should be D = M if the midline is above zero (and if the midline is below zero you'll get a minus of a negative which becomes plus — I can handle that when you give M).
- B = 2π / T.

If you give the max, min, and period (or x-values of two consecutive peaks), I will fill in the three blanks for you.