Question

The coordinates of N (-1,1). What are the coordinates for the N’ after being translated by the rule (x,y) -> (x+4, y-6)?

A) N' (3, -5)
B) N' (-5, -7)
C) N' (3, 5)
D) N' (-5, 7)

Answer 1

After applying the translation rule (x, y) -> (x+4, y-6) to the point N (-1,1), the new coordinates are N' (3, -5), which is option A.

Step-by-step explanation:

To apply the translation rule (x, y) -> (x+4, y-6) to the point N (-1,1), you add 4 to the x-coordinate and subtract 6 from the y-coordinate.

Starting with the x-coordinate:

• -1 + 4 = 3

Now the y-coordinate:

• 1 - 6 = -5

So, the coordinates of N' after the translation are (3, -5).

Therefore, the correct answer is A) N' (3, -5).