The problem asks for the coordinates of vertex $V$ after the given rectangle is reflected in the dashed line $y=6$. We need to find the new coordinates of $V$ after the reflection.

1. Problem Description

The problem asks for the coordinates of vertex $V$ after the given rectangle is reflected in the dashed line $y=6$. We need to find the new coordinates of $V$ after the reflection.

2. Solution Steps

First, identify the coordinates of vertex $V$ from the graph. From the image, the coordinates of $V$ are $(7, 4)$.

The dashed line is $y=6$, and this is the line of reflection.

To reflect a point $(x, y)$ over the line $y=k$, the new coordinates $(x', y')$ are given by:

$x' = x$

$y' = 2k - y$

In this case, $x=7$, $y=4$, and $k=6$.

$x' = 7$

$y' = 2(6) - 4 = 12 - 4 = 8$

Therefore, the coordinates of the reflected point are $(7, 8)$.

3. Final Answer

The coordinates of vertex $V$ after the reflection are $(7, 8)$.