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 $Y^{\prime }$, we start with the original point $Y(-4,1)$.

1. Translate down 3 units: This means we subtract 3 from the y-coordinate. $$y^{\prime }=1-3=-2$$

2. Translate to the right 8 units: This means we add 8 to the x-coordinate. $$x^{\prime }=-4+8=4$$

Now, combining these results, the coordinates of the translated point $Y^{\prime }$ are: $$Y^{\prime }=(4,-2)$$

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