Final answer:
The x-coordinate of C' will still be -5, but the y-coordinate of C' will be -3.
Step-by-step explanation:
To find the coordinates of the vertex C', we need to reflect the coordinates of point C(-5,3) across the line y = -1. When reflecting a point across a line, the x-coordinate remains the same while the y-coordinate changes sign. So, the x-coordinate of C' will still be -5, but the y-coordinate of C' will be -3.