When the figure is translated 4 units to the right and 6 units down, what are the coordinates of the new figure?

To translate a figure 4 units to the right, you add 4 to the x-coordinates of all the points. To translate the figure 6 units down, you subtract 6 from the y-coordinates of all the points.

So, if you have an original figure with coordinates (x, y), the new coordinates after the translation will be:

New X-coordinate = Original X-coordinate + 4
New Y-coordinate = Original Y-coordinate - 6

For example, if the original figure has a point (2, 7), the new coordinates would be:

New X-coordinate = 2 + 4 = 6
New Y-coordinate = 7 - 6 = 1

So, the new coordinates of the translated figure would be (6, 1).