Question

graph the image of square tuvw after a reflection over the y - axis.

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the $y - axis$ is $(-x,y)$.

Step2: Identify original points

Let's assume the coordinates of the vertices of square $TUVW$ are $T(x_1,y_1)$, $U(x_2,y_2)$, $V(x_3,y_3)$, $W(x_4,y_4)$.

Step3: Apply reflection rule

The new coordinates after reflection over the $y - axis$ will be $T'(-x_1,y_1)$, $U'(-x_2,y_2)$, $V'(-x_3,y_3)$, $W'(-x_4,y_4)$.

Step4: Plot new points

Plot the new points $T'$, $U'$, $V'$, $W'$ on the coordinate - plane and connect them to form the reflected square.

Since the original coordinates of the vertices are not given in the question, the general steps for graphing the reflection of the square over the $y - axis$ are as above. To actually graph it, you would need to know the specific coordinates of the vertices of square $TUVW$ and then apply the rule $(x,y)\to(-x,y)$ to each vertex and plot the new points.

Answer:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the $y - axis$ is $(-x,y)$.

Step2: Identify original points

Let's assume the coordinates of the vertices of square $TUVW$ are $T(x_1,y_1)$, $U(x_2,y_2)$, $V(x_3,y_3)$, $W(x_4,y_4)$.

Step3: Apply reflection rule

The new coordinates after reflection over the $y - axis$ will be $T'(-x_1,y_1)$, $U'(-x_2,y_2)$, $V'(-x_3,y_3)$, $W'(-x_4,y_4)$.

Step4: Plot new points

Plot the new points $T'$, $U'$, $V'$, $W'$ on the coordinate - plane and connect them to form the reflected square.

Since the original coordinates of the vertices are not given in the question, the general steps for graphing the reflection of the square over the $y - axis$ are as above. To actually graph it, you would need to know the specific coordinates of the vertices of square $TUVW$ and then apply the rule $(x,y)\to(-x,y)$ to each vertex and plot the new points.