If point u is reflected across the x = −3, what are the coordinates of its reflection image?

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)

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