Question

graph the image of rectangle jklm after a reflection over the y-axis.

Explanation:

Step1: Identify original coordinates

Original vertices: $J(3,5)$, $K(6,5)$, $L(6,9)$, $M(3,9)$

Step2: Apply y-axis reflection rule

Reflection over y-axis: $(x,y) \to (-x,y)$
New coordinates:
$J'(-3,5)$, $K'(-6,5)$, $L'(-6,9)$, $M'(-3,9)$

Step3: Plot new vertices and connect

Plot $J'$, $K'$, $L'$, $M'$ on the grid, then connect them to form the reflected rectangle.

Answer:

The reflected rectangle $J'K'L'M'$ has vertices at $(-3,5)$, $(-6,5)$, $(-6,9)$, $(-3,9)$. When plotted and connected, this forms the mirror image of the original rectangle across the y-axis.