Question

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 \((-6,-6)\), \((0,-6)\), \((0,-1)\), \((-6,-1)\)