Question
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)
Answers
GPT-4o mini
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)**.
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)**.