The problem requires graphing the image of rectangle $KLMN$ after a reflection over the y-axis. The coordinates of the vertices of the rectangle $KLMN$ are $K(3, 3)$, $L(6, 3)$, $M(6, 8)$, and $N(3, 8)$.

1. Problem Description

The problem requires graphing the image of rectangle $KLMN$ after a reflection over the y-axis. The coordinates of the vertices of the rectangle $KLMN$ are $K(3, 3)$, $L(6, 3)$, $M(6, 8)$, and $N(3, 8)$.

2. Solution Steps

To reflect a point over the y-axis, we negate the x-coordinate while keeping the y-coordinate the same. In other words, the transformation rule is $(x, y) \rightarrow (-x, y)$.

$K(3, 3)$ becomes $K'(-3, 3)$.

$L(6, 3)$ becomes $L'(-6, 3)$.

$M(6, 8)$ becomes $M'(-6, 8)$.

$N(3, 8)$ becomes $N'(-3, 8)$.

Now, plot the points $K'(-3, 3)$, $L'(-6, 3)$, $M'(-6, 8)$, and $N'(-3, 8)$ and connect them to form the reflected rectangle $K'L'M'N'$.

3. Final Answer

The vertices of the reflected rectangle are $K'(-3, 3)$, $L'(-6, 3)$, $M'(-6, 8)$, and $N'(-3, 8)$. You would plot these points and connect them to form the reflected rectangle.