Question

graph the image of square abcd after a translation 7 units down.

Explanation:

Step1: Recall translation rule

For a translation 7 units down, the rule for a point $(x,y)$ is $(x,y - 7)$.

Step2: Find new coordinates of point A

The coordinates of point A are $(-4,-2)$. Using the rule $(x,y-7)$, we get $(-4,-2 - 7)=(-4,-9)$.

Step3: Find new coordinates of point B

The coordinates of point B are $(-2,-2)$. Using the rule $(x,y - 7)$, we get $(-2,-2-7)=(-2,-9)$.

Step4: Find new coordinates of point C

The coordinates of point C are $(-2,2)$. Using the rule $(x,y - 7)$, we get $(-2,2 - 7)=(-2,-5)$.

Step5: Find new coordinates of point D

The coordinates of point D are $(-4,2)$. Using the rule $(x,y - 7)$, we get $(-4,2 - 7)=(-4,-5)$.

Step6: Graph the new square

Plot the points $A'(-4,-9)$, $B'(-2,-9)$, $C'(-2,-5)$ and $D'(-4,-5)$ and connect them to form the new square.

Answer:

Graph the square with vertices $(-4,-9)$, $(-2,-9)$, $(-2,-5)$ and $(-4,-5)$.