Question

graph the image of rectangle stuv after a translation 7 units left.

Explanation:

Step1: Recall translation rule

For a translation 7 units left, subtract 7 from the x - coordinates of each vertex of the rectangle.

Step2: Assume vertex coordinates

Let's assume the coordinates of the vertices of rectangle $STUV$ are $S(x_1,y_1)$, $T(x_2,y_1)$, $U(x_2,y_2)$, $V(x_1,y_2)$. After translation, the new coordinates will be $S'(x_1 - 7,y_1)$, $T'(x_2 - 7,y_1)$, $U'(x_2 - 7,y_2)$, $V'(x_1 - 7,y_2)$.

Step3: Plot new rectangle

On the coordinate - grid, plot the new vertices $S'$, $T'$, $U'$, $V'$ and connect them to form the new rectangle.

Answer:

Graph the new rectangle with vertices obtained by subtracting 7 from the x - coordinates of the original rectangle's vertices.