If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates
To translate a polygon, we add or subtract the same value to all the coordinates. If the polygon is translated 3 units down, we subtract 3 from the y-coordinates. If the polygon is translated 4 units left, we subtract 4 from the x-coordinates.
Using prime notation, let's denote the original coordinates of the polygon as (x, y). The new coordinates after the translation would be (x', y').
For a point (x, y), the new x-coordinate (x') would be calculated as:
x' = x - 4 (since we are shifting 4 units left)
Similarly, the new y-coordinate (y') would be calculated as:
y' = y - 3 (since we are shifting 3 units down)
Therefore, the new coordinates of the polygon after the translation would be (x', y') = (x - 4, y - 3).