To find the coordinates of point F' after a reflection of point F(-5, 5) across the line x = -1, we first need to determine the distance of point F from the line x = -1.
- The x-coordinate of point F is -5.
- The line of reflection is x = -1.
The distance from F to the line x = -1 is calculated as follows:
\[ \text{Distance} = -1 - (-5) = -1 + 5 = 4 \]
Since we are reflecting, we need to move the same distance from the line in the opposite direction. So we add this distance of 4 to -1:
\[ \text{New x-coordinate} = -1 + 4 = 3 \]
The y-coordinate remains the same because we are reflecting over a vertical line, so the new coordinates for F' are:
\[ F' = (3, 5) \]
So, we simply need to check the provided options. However, the correct reflection point (3, 5) does not appear in the responses.
If there's a misunderstanding based on my analysis or more information, please clarify or provide additional context, and I'll be glad to assist!