Given the polygon below, find the coordinates of B' under a reflection across x = -4.

Solution:
Given:
The coordinate of point B is at (6,-4)
If it is reflected across x = -4, then B' will also be equidistant from the line of reflection.
Point B is 10 units from line x = -4
Hence, point B' will also be 10 units away from the line x = -4
Thus, B' will fall at;
[tex]\begin{gathered} (-4-10,-4) \\ =(-14,-4) \\ \\ The\text{ y-coordinate remains the same} \end{gathered}[/tex]Therefore, the correct answer is OPTION C.