A rectangle with a vertex at (8,−2) is translated 3 units down. What are the coordinates of this vertex after it is translated? Draw a graph if necessary.(1 point)
The original vertex is at (8, -2). If the rectangle is translated 3 units down, the y-coordinate of the vertex will decrease by 3.
Therefore, the new coordinates of the vertex after translation are (8, -2-3) = (8, -5).
The graph is not necessary as the coordinates can be determined algebraically.
To find the new coordinates of the vertex after a translation, we can simply subtract 3 from the y-coordinate.
Given the vertex at (8,-2), when we translate it 3 units down, the new y-coordinate will be -2 - 3 = -5.
Therefore, the new coordinates of the vertex after translation are (8, -5).
If you need a visual representation, you can plot the points on a graph and see the transformation.