Rst has vertices r(0,-4), s(-2,-1), and t(-6,1). graph the image of rst for the translation (x, y). (x-4,y+7)

You can directly plot the given points of the original image. As you can see in the attached picture, that would be the blue image. Now, to transform the points, simply follow the given instructions. For the x-coordinates, subtract 4 from the original x-coordinates. For the y-coordinates, add from the original y-coordinated. For example, Point R (0,-4) is transformed to Point R'(-4,3). The translated figure is the one in orange.