Answer: SECOND OPTION.
Step-by-step explanation:
Given the following point identified as "A":
[tex]A(-1,4)[/tex]
You can identify that the x-coordinate of the point is:
[tex]x=-1[/tex]
And its y-coordinate is:
[tex]y=4[/tex]
According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.
Therefore, you can conclude that the rule that best describe the translation of the point [tex]A(-1,4)[/tex] is the following:
[tex](x,y)[/tex] → [tex](x+5,y-3)[/tex]
Then, the point translated is:
[tex]A'(-1+5,\ 4-3)[/tex] → [tex]A'(4,1)[/tex]
