Question

graph the image of rectangle defg after a translation 3 units right and 3 units up.

Explanation:

Step1: Recall translation rule

For a translation 3 units right and 3 units up, the rule for a point $(x,y)$ is $(x + 3,y+3)$.

Step2: Find new coordinates of point D

The coordinates of D are $(-6,-8)$. Using the rule, the new coordinates are $(-6 + 3,-8+3)=(-3,-5)$.

Step3: Find new coordinates of point E

The coordinates of E are $(2,-8)$. Using the rule, the new coordinates are $(2 + 3,-8+3)=(5,-5)$.

Step4: Find new coordinates of point F

The coordinates of F are $(2,2)$. Using the rule, the new coordinates are $(2 + 3,2+3)=(5,5)$.

Step5: Find new coordinates of point G

The coordinates of G are $(-6,2)$. Using the rule, the new coordinates are $(-6 + 3,2+3)=(-3,5)$.

Step6: Graph the new rectangle

Plot the points $D'(-3,-5)$, $E'(5,-5)$, $F'(5,5)$ and $G'(-3,5)$ and connect them to form the new rectangle.

Answer:

Graph the rectangle with vertices $D'(-3,-5)$, $E'(5,-5)$, $F'(5,5)$ and $G'(-3,5)$ on the given coordinate - plane.