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) (4,1) (4,-2) (4,4) (-7,9)

## Step 1<br />The problem involves a geometric figure with a vertex at the point Y(-4,1). The figure is translated down 3 units and to the right 8 units. We need to find the coordinates of the translated point Y'.<br /><br />## Step 2<br />In a translation, the figure is moved without changing its shape or orientation. The translation is described by the direction and distance of the movement.<br /><br />## Step 3<br />The translation is described as "down 3 units and to the right 8 units". This means that the x-coordinate of the point will increase by 8 (since it's moving to the right) and the y-coordinate will decrease by 3 (since it's moving down).<br /><br />## Step 4<br />The original coordinates of the point Y are (-4,1). After the translation, the x-coordinate will be -4 + 8 = 4 and the y-coordinate will be 1 - 3 = -2.