To identify the function of the graph, we need specific details about the graph itself, such as its shape, key points, and its behavior. However, based on the equations provided:
- y = x + 1 - This represents a straight line with a slope of 1, intersecting the y-axis at (0, 1).
- y = x^2 - 1 - This represents a parabola opening upwards, with its vertex at (0, -1).
- y = x^2 - This is a standard parabola opening upwards, with its vertex at (0, 0).
- y = x^2 + 1 - This is also a parabola opening upwards, but it is shifted up one unit, with its vertex at (0, 1).
If you can provide more details about the appearance of the graph, such as whether it appears linear or quadratic, and any key features such as intercepts or vertex, I could help you identify the correct function among the options given.