Answer:
The x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
Step-by-step explanation:
The given triangle has vertices at A(-4,1), B(-2,1) and C(-2,4)
The transformation rule for a horizontal translation by k units is
![(x,y)\to (x\pm k,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28x%5Cpm%20k%2Cy%29)
In this case we have k=6
![A(-4,1)\to A'(-4\pm6,1)](https://tex.z-dn.net/?f=A%28-4%2C1%29%5Cto%20A%27%28-4%5Cpm6%2C1%29)
![B(-2,1)\to B'(-2\pm6,1)](https://tex.z-dn.net/?f=B%28-2%2C1%29%5Cto%20B%27%28-2%5Cpm6%2C1%29)
![C(-2,4)\to C'(-2\pm6,4)](https://tex.z-dn.net/?f=C%28-2%2C4%29%5Cto%20C%27%28-2%5Cpm6%2C4%29)
Therefore the x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
See attachment