graph the image of rectangle cdef after a translation 2 units right and 10 units down.

Explanation:

Step1: Identify original coordinates

Assume (C(-8,4)), (D(-2,4)), (E(-2,9)), (F(-8,9))

Step2: Apply translation rule

For a translation 2 units right and 10 units down, the rule is ((x,y)\to(x + 2,y-10)) For point (C): ((-8,4)\to(-8 + 2,4-10)=(-6,-6)) For point (D): ((-2,4)\to(-2+ 2,4 - 10)=(0,-6)) For point (E): ((-2,9)\to(-2 + 2,9-10)=(0,-1)) For point (F): ((-8,9)\to(-8 + 2,9-10)=(-6,-1))

Step3: Graph new points

Plot the new points ((-6,-6)), ((0,-6)), ((0,-1)), ((-6,-1)) and connect them to form the new rectangle.

Answer:

Graph the rectangle with vertices ((-6,-6)), ((0,-6)), ((0,-1)), ((-6,-1))