Question

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

Explanation:

Step1: Find the original coordinates

Let's assume the coordinates of the rectangle \(CDEF\) are \(C(-6,-6)\), \(D(-2,-6)\), \(E(-2,0)\), \(F(-6,0)\)

Step2: Apply the translation rule

The translation rule is \((x,y)\to(x - 4,y+9)\)
For point \(C(-6,-6)\):
\(x=-6-4=-10\), \(y=-6 + 9=3\), so \(C'(-10,3)\)
For point \(D(-2,-6)\):
\(x=-2-4=-6\), \(y=-6 + 9=3\), so \(D'(-6,3)\)
For point \(E(-2,0)\):
\(x=-2-4=-6\), \(y=0 + 9=9\), so \(E'(-6,9)\)
For point \(F(-6,0)\):
\(x=-6-4=-10\), \(y=0 + 9=9\), so \(F'(-10,9)\)

Step3: Plot the new points

Plot the points \(C'(-10,3)\), \(D'(-6,3)\), \(E'(-6,9)\), \(F'(-10,9)\) on the coordinate plane and connect them to form the translated rectangle.

Answer:

Plot the points \(C'(-10,3)\), \(D'(-6,3)\), \(E'(-6,9)\), \(F'(-10,9)\) and connect them.