Translate Δ A B C 6 units horizontally. How are the values in the ordered pairs affected by the translation?

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
[tex](x,y)\to (x\pm k,y)[/tex]
In this case we have k=6
[tex]A(-4,1)\to A'(-4\pm6,1)[/tex]
[tex]B(-2,1)\to B'(-2\pm6,1)[/tex]
[tex]C(-2,4)\to C'(-2\pm6,4)[/tex]
Therefore the x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
See attachment