The point c(3, -1) is translated left 4 units up and 1unit.

. write the rule for this translation
. what are the coordinates of the image point
A. (x, y) --> (x+4, y+1);(7, -2)
B. (x, y) --> (x- 4, y-1);(-1, 0) *
C. (x, y) --> (x+4, y-1);(7, 0)
D. (x, y) --> (x- 4, y+1);(-1, 0)

Lol never mind I found the solution on my own! The answer is D.

"translated left 4 units" mean 4 is subtracted from x : mmmhhh? (x-4) ?

"up 1unit" , up refers to the y. So how would you add 1 to y ?

To determine the rule for the given translation, we need to observe the changes made to the coordinates.

The point c(3, -1) is translated left 4 units. To move left, we subtract 4 from the x-coordinate.

The point c(3, -1) is also translated up 1 unit. To move up, we add 1 to the y-coordinate.

Therefore, the rule for this translation is (x, y) → (x - 4, y + 1).

Now, let's verify the coordinates of the image point using this rule.

Applying this rule to the original coordinates of point c(3, -1), we get:
(3 - 4, -1 + 1) = (-1, 0)

Comparing the calculated image point coordinates (-1, 0) with the given options, we find that option B matches with the calculated coordinates:
(x, y) → (x - 4, y - 1); (-1, 0).

Therefore, the correct answer is B. (x, y) → (x - 4, y - 1); (-1, 0).