The question in the image asks for the reflection of point $B (-4, 1)$ across point $C (-3, 1)$. To solve this problem, we need to calculate the reflection of point $B$ over $C$.

Step-by-Step Solution:

1. Identify the coordinates of the points:

   • $B (-4, 1)$
   • $C (-3, 1)$

2. Formula for reflection over a point: If a point $B(x_1, y_1)$ is reflected over a point $C(x_2, y_2)$, the reflected point $B'$ will have coordinates: $B'(x', y') = (2x_2 - x_1, 2y_2 - y_1)$ Where $(x_2, y_2)$ are the coordinates of point $C$, and $(x_1, y_1)$ are the coordinates of point $B$.

3. Apply the formula:

   • $x' = 2(-3) - (-4) = -6 + 4 = -2$
   • $y' = 2(1) - 1 = 2 - 1 = 1$

4. Conclusion: The reflected point is $(-2, 1)$. However, this option is not available in the list of choices.

It appears there might be an issue with the answer options provided in the question. Let me know if you'd like further clarification on this solution.

Related Questions:

1. How do you reflect a point over the origin?
2. What is the formula to find the midpoint between two points?
3. How do you reflect a point over the x-axis or y-axis?
4. How do you calculate the distance between two points in a coordinate plane?
5. Can a point be reflected over a line instead of a point? How?

Tip: Always double-check the reflection formulas for both points and lines to avoid confusion with signs!