Analyze the provided image and extract mathematical equations and a graph.

The image contains three mathematical equations and a graph:

• Equation 1: $$y = -(x-2)^2 + 1$$
• Equation 2: $$y = \frac{3}{x-1} + 2$$
• Equation 3: $$g = \frac{(x^2 - 6.25)(x+1)}{-1-x}$$

The graph appears to be a parabola, likely representing the first equation, with its vertex at (2, 1). The x-axis is labeled from -5 to 4, and the y-axis is labeled from -5 to 4.