I tried to complete this question on determining a trigonometry equation on a graph but I got the wrong answer. What did I do wrong?

Step-by-step explanation:

Let's break it down:

In the sinusoidal function :

To find Amplitude, divide the entire height of the function (from top to bottom) by two, or find the vertical distance between the horizontal line of symmetry and the highest/lowest point of the wave. In this case, Amplitude is 2.

To find , use , where is the period of the function. To find the period, count the horizontal distance of the length of one complete cycle. In this case, period is 8 and therefore .

To find Phase Shift, find the horizontal shift from the parent function . In this case, there is no phase shift.

To find Vertical Shift, find the vertical shift from the parent function . In this case, vertical shift is -1.

Thus, we've found:

Substituting these values into , we get:

c is the final answer! : )