Question

graph the image of rectangle cdef after a translation 4 units left and 9 units up.

Explanation:

Step1: Recall translation rule

For a translation 4 units left and 9 units up, the rule for a point $(x,y)$ is $(x - 4,y + 9)$.

Step2: Find new coordinates of point C

Point C has coordinates $(-6,-6)$. Using the rule, the new coordinates are $(-6-4,-6 + 9)=(-10,3)$.

Step3: Find new coordinates of point D

Point D has coordinates $(-2,-6)$. Using the rule, the new coordinates are $(-2-4,-6 + 9)=(-6,3)$.

Step4: Find new coordinates of point E

Point E has coordinates $(-2,0)$. Using the rule, the new coordinates are $(-2-4,0 + 9)=(-6,9)$.

Step5: Find new coordinates of point F

Point F has coordinates $(-6,0)$. Using the rule, the new coordinates are $(-6-4,0 + 9)=(-10,9)$.

Step6: Graph the new rectangle

Plot the points $(-10,3),(-6,3),(-6,9),(-10,9)$ and connect them to form the new rectangle.

Answer:

Graph the rectangle with vertices $(-10,3),(-6,3),(-6,9),(-10,9)$ on the given coordinate - grid.