We can see from the image that there was for sure a dilation with scale factor 3. Since there are several possible transformations to move the dilated triangle up to the current position, we need to select among the options provided.
Since the options include only dilations centered at the origin, we understand that we will be conducting first a translation that will place the point "S" at the very origin of coordinates (0, 0) and later a dilation cneterd at this very point.
Then, we count the number of units one needs to go up and right in order to place point S in the origin of coordinates, and find that we need to go 8 units up (in the y-direction), and 5 units right (in the x direction.
Therefore, the sequence of transformations is:
1) translate 8 units up and 5 to the right with the transformation:
(x, y) into (x + 5, y +8)
2) dilation with center at the origin with a sclae factor of "3"
The scale factor is easily determined by for exampl finding that in irder to go from one vertex to another in the original triangle (let's say from vertex R to vertex S), we go 2 units to the right and 2 units down. While when we go from vertex R' to vertex S', we need to move 6 units to the right and 6 down. Notice a factor of 3 that is needed to go from 2 to 6 in each case. That factor gives you how much the dilation was (its scale factor).
Therefore, please select options B and E (you need to select both)