This image shows a sinusoidal graph, labeled with specific points, such as $(\frac{\pi}{4}, 1)$, $(-\frac{\pi}{12}, -3)$, and others, along with what seems to be a given equation or task: "Determine..." and the partial equation $y - y = S$.

From the visual cues:

1. The function is sinusoidal, likely of the form $y = A \sin(Bx + C) + D$ or $y = A \cos(Bx + C) + D$.
2. Critical points labeled with coordinates suggest amplitude, period, and phase shift can be extracted.

Would you like me to:

• Determine the equation of the sinusoidal graph step by step?
• Clarify details on any specific aspect, such as amplitude, period, or phase shift?
• Discuss the coordinates or other key points in the graph?

Please confirm how you'd like to proceed!