Question

graph the image of △hij after a reflection over the y - axis

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the $y -$axis, the transformation rule is $(x,y)\to(-x,y)$.

Step2: Identify vertices of $\triangle JKL$

Assume the vertices of $\triangle JKL$ are $J(x_1,y_1)$, $K(x_2,y_2)$, $L(x_3,y_3)$.

Step3: Apply reflection rule

The new vertices $J'( - x_1,y_1)$, $K'( - x_2,y_2)$, $L'( - x_3,y_3)$ after reflection over the $y -$axis.

Step4: Plot new triangle

Plot the points $J'$, $K'$, $L'$ on the coordinate - plane and connect them to form the reflected triangle.

Answer:

Plot the points obtained by applying the $(x,y)\to(-x,y)$ rule to the vertices of the original triangle and connect them to form the reflected triangle over the $y -$axis.