If a geometric figure with a vertex at the point Y (-4, 1) is translated down 3 units and to the right 8 units, what are the coordinates of the translated point Y' ?(1 point)Responses (4, -2) (4, -2) (4, 4) (4, 4) (-7, 9) (-7, 9) (4, 1) (4, 1)

Answer 1

To find the coordinates of the translated point \( Y' \), we start with the original point \( Y (-4, 1) \).

1. Translate down 3 units: This means we subtract 3 from the y-coordinate. \[ y' = 1 - 3 = -2 \]

2. Translate to the right 8 units: This means we add 8 to the x-coordinate. \[ x' = -4 + 8 = 4 \]

Now, combining these results, the coordinates of the translated point \( Y' \) are: \[ Y' = (4, -2) \]

Thus, the answer is (4, -2).