Here is the graph of the equation $y = x^2 + 2$ for integer values of $x$ from -3 to 3. The blue curve represents the quadratic function, and specific points have been plotted and labeled for clarity.

Would you like more details about the graph or the function?

Here are 5 related questions:

1. What are the characteristics of a quadratic function in general?
2. How does shifting the graph up by 2 units affect its shape?
3. What happens to the graph if we change the equation to $y = x^2 - 2$?
4. Can you explain the symmetry of the graph about the y-axis?
5. How would the graph change if we multiplied the $x^2$ term by a constant?

Tip: Quadratic functions always have a parabolic shape, and the vertex represents the minimum or maximum point depending on whether the parabola opens upwards or downwards.