Here is the graph of the equation $x^2 + y^2 = 25$ for $x \in \{0, 1, 2, 3, 4, 5\}$. The blue points represent the positive $y$-values, and the red points represent the negative $y$-values for each corresponding $x$-value.

Would you like more details or have any questions?

Here are some questions you might ask:

1. Can you explain how to derive the positive and negative $y$-values from the equation?
2. How would this graph change if the equation were $x^2 + y^2 = 36$?
3. What are the coordinates of the points where $x$ intersects the circle?
4. Can you plot the graph for $x \in \{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5\}$?
5. What is the radius of the circle in the graph?

Tip: When graphing equations involving circles, remember that $x^2 + y^2 = r^2$ represents a circle with radius $r$ centered at the origin.