Question

graph the image of △abc after a translation 1 unit left and 6 units up.

Explanation:

Step1: Identify original coordinates

Assume \(A(-6,1)\), \(B(-6,3)\), \(C(-1, - 1)\)

Step2: Apply translation rule

The translation rule for 1 unit left and 6 units up is \((x,y)\to(x - 1,y + 6)\)
For point \(A\): \((-6,1)\to(-6-1,1 + 6)=(-7,7)\)
For point \(B\): \((-6,3)\to(-6-1,3 + 6)=(-7,9)\)
For point \(C\): \((-1,-1)\to(-1-1,-1 + 6)=(-2,5)\)

Step3: Plot new points

Plot points \(A'(-7,7)\), \(B'(-7,9)\), \(C'(-2,5)\) and connect them to form \(\triangle A'B'C'\)

Answer:

Plot the points \(A'(-7,7)\), \(B'(-7,9)\), \(C'(-2,5)\) and connect them to get the image of \(\triangle ABC\) after the given translation.