If a geometric figure with a vertex at the point Y(−4, 1)

Question

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)
left parenthesis 4 comma negative 2 right parenthesis

(4, 4)
left parenthesis 4 comma 4 right parenthesis

(4, 1)
left parenthesis 4 comma 1 right parenthesis

(−7, 9)

Answer 1

To find the coordinates of the translated point \( Y' \) after moving the original point \( Y(-4, 1) \) down 3 units and to the right 8 units, we can follow these steps:

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. \[ x = -4 + 8 = 4 \]

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

So, the answer is: \[ \boxed{(4, -2)} \]