Answer:
The coordinates of the image point will be [-(h + 6), k].
Step-by-step explanation:
Let the original point U has the coordinates (h,k).
Now, if point U reflects across the line x = - 3 line, which is parallel to the y-axis, then the only x-coordinate of the image point change but the y-coordinate will remains the same.
Now, the distance from line x = - 3 to the point U is (3 + h).
Hence, the distance of the image point is (3 + h) horizontally from the line x = - 3.
So, the distance of the image point from the y-axis will be [(h + 3) + 3] = h + 6
Therefore, the coordinates of the image point will be [-(h + 6), k]. (Answer)
