The transformation from figure 1 to figure 2 is shown on the graph.
It is required to choose from the options the composition of transformation that maps figure 1 onto figure 2.
The coordinates of the vertices of figure 1 are (5,2), (5,7), and (8,5).
The coordinates of the vertices of figure 2 are (-2,2), (-7,3), and (-5,5).
Recall the coordinate rule of 90º counterclockwise rotation about the origin:
Hence, the rotation of figure 1 90º counterclockwise gives the vertices:
Translate the image 3 units down by subtracting 3 from the y-coordinates to give vertices:
Notice that these vertices match that of figure 2.
It follows that the sequence of transformation is 90ºcounterclockwise rotation about the origin, followed by a translation three units down.
The answer is B followed by D.