Answer:
A'(-4, 3)
Step-by-step explanation:
The given point is A(-2,4).
If this point is translated by the rule:
[tex](x,y)\to (x-2,y-1)[/tex], then we can obtain the image of A(-2,4) by plugging x=-2 an y=4 into the rule.
[tex]\implies A(-2,4)\to A'(-2-2,4-1)[/tex]
[tex]\implies A(-2,4)\to A'(-4,3)[/tex]
The correct choice is A'(-4, 3)