Question

if geometric figure with a vertex at the point Y (-4, 1) is translated down 3 units and to the right 8 unites, what are the coordinates of the translated point Y?

Answer 1

To find the new coordinates of point Y after the described translation, we start with the original coordinates of point Y, which are \((-4, 1)\).

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

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

After performing these translations, the new coordinates of point Y are \((4, -2)\).

Thus, the coordinates of the translated point Y are \(\boxed{(4, -2)}\).